Sr. No. .............................

ENTRANCE TEST-2023
SCHOOL OF PHYSICAL AND MATHEMATICAL SCIENCE
PHYSICS
Total Questions : 60
Question Booklet Series A
Time Allowed : 70 Minutes Roll No. :

Instructions for Candidates :

1. Write your Entrance Test Roll Number in the space provided at the top of this page of Question Booklet
and fill up the necessary information in the spaces provided on the OMR Answer Sheet.
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making entries in the Original Copy, candidate should ensure that the two copies are aligned properly
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darken the circle of the appropriate response completely. The incomplete darkened circle is not correctly
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of 0.25 marks from the total score of the candidate.
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the original OMR sheet in presence of the Candidate and hand over the Candidate’s Copy to the candidate.

SM-29574–A 1 [Turn over

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1. Two bodies of masses 3 × 10–24 kg and 6 × 10–25 kg 5. If we assume that the earth has exact spherical
are moving with velocities 0.002c m/s and symmetry, then, g at a height h above the surface
0.01c m/s respectively towards each other under can be approximately expressed as :
a mutually attractive force. The velocity of their  GMe   2h 
centre of mass is (where ‘c’ is the velocity of (A)  2  1  
 Re  R e 
light) :
(A) 0.015c m/s  GMe   2h 
(B)  R  1  R 
(B) 0.003c m/s  e  e 

(C) 0 m/s
 GMe   h 
(D) c m/s (C)  R 2  1  2 R 
 e  e 
2. A spaceship has a length of 100 m in its rest frame
and appears to be 80.0 m to an observer in an  GMe   2h 
earth frame. The relative velocity of the reference (D)  R 2  1  R 
 e  e 
frames is :
6. A uniform disk of mass M and radius R rolls,
(A) 0.600c without slipping, down a fixed plane inclined at
(B) 0.500c an angle of 45º to the horizontal. The linear
(C) 0.300c acceleration of the disk (in ms–2) is closest to :
(D) 0.900c (A) 4.6
3. Two relativistic particles with opposite velocities (B) 4.2
collide head-on and come to rest by sticking with (C) 9.8
each other. Which of the following quantity is not (D) 4.9
conserved ? 7. The time period of revolution of an artificial
(A) Total linear momentum satellite moving around Jupiter in a circular orbit
at a distance ‘R’ from its centre is T. If the same
(B) Total energy
satellite is taken to an orbit of radius 9R around
(C) Total rest mass
the same planet, the time period would be :
(D) None of the above quantities is conserved (A) 9T
4. Observes in relative motion with speed ‘v’ are (B) 27T
connected by a Lorentz transformation : (C) T/9
(A) x = (x – vt), y = y, z = z, t = t (D) 3T
(B) x = (x – vt), y = y, z = z, t = t 8. The ratio of the moment of inertia of a spherical
x  shell about a tangent axis to the moment of inertia
(C) x = (x – vt), y = y, z = z, t =   t   about its centroidal axis is :
 c 
(A) 5/3
x
(D) x = (x – vt), y = y, z = z, t =   t  2  (B) 5/2
 c  (C) 7/2
(D) 7/3

SM-29574–A 2
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9. Which of the following identity is NOT correct ? 13. A parallel-plate capacitor is filled with an
(A) (fg) = f g + gf insulating material of dielectric constant K. Then,
(B) · (f A) = f (· A) + A · (f ) which of the following statement is NOT true ?
(C) ×(f A) = f (×A) + A × (f ) (A) The dielectric material will reduce the
(D) ×(f A) = f (×A) – A × (f ) electric field inside the capacitor by a factor
of 1/K
10. Which of the following is a possible electrostatic
field ? (B) The dielectric material will increase the
electric potential inside the capacitor by a
(A) E  A[xyî  2 yzˆj  3xzk̂ ]
factor of 1/K
(B) E  A[ y 2 î  ( 2xy  z 2 )ˆj  2 yz k̂ ] (C) The capacitance of the parallel-plate
capacitor is increased by a factor of K
(C) E  A[x 2 î  ( 2z 2  xy) ĵ  yzk̂ ]
(D) The electric field is confined to the spaces
(D) E  A[z 2 î  ( 2 y  3xz )ˆj  yzk̂ ] between the plates
11. A thick spherical shell carries charge density 14. Ampere’s law cannot be used for :
k (A) Calculating magnetic field due to infinite
  2 (a  r  b) , the electric field in the region
r planes carrying steady currents
(a < r < b) is :
(B) Calculating magnetic field due to infinite
 k  r  a solenoids carrying steady currents
(A)     r 2  r̂
 0  (C) Calculating magnetic field due to infinite
straight wires carrying steady as well as non-
 k  a  r
(B)     r 2  r̂ steady currents
 0  
(D) Calculating magnetic field due to toroid
 k b  a carrying steady currents

(C)      2  r̂
 0 r  15. Choose the correct statement :

(D) 0 (A) The magnetic susceptibility of paramagnetic

materials is temperature independent
12. The amplitude of a lightly damped harmonic
oscillator decreases at the rate of 5% per minute. (B) The magnetic susceptibility of diamagnetic
The loss of energy of the oscillator per minute mat erials is nearly independent of
will be closest to : temperature
(A) 5% (C) The magnetic susceptibility of ferromagnetic
(B) 10% materials increases with temperature
(C) 15% (D) The magnetic susceptibility of paramagnetic
(D) 20% materials increases with temperature

SM-29574–A 3 [Turn over

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16. Which of the following does not represent the 20. Which of the following statement is correct ?
basic equation of Magnetostatics ?
(A) Galilean transformation equations can be
(A)  × A = B
applied to Maxwell’s equations in free space
(B)  × H = J
(C)  · B = 0 (B) Maxwell’s equat ions show that
(D)  · B = |J| electromagnetic waves travel at different
17. A short cylindrical bar magnet and an identical speeds in different inertial frames
unmagnetized iron piece are both dropped
(C) Maxwell’s equations in free space are
simultaneously from the tops of two identical,
vertical aluminium pipes (of slightly larger invariant under Lorentz transformation
diameter and 2 meters long), then : (D) Maxwell’s equations were able to unify the
(A) It takes a fraction of a second for the theories of electromagnetism and
unmagnetized iron to emerge at the bottom
thermodynamics
(B) It takes a fraction of a second for the bar
magnet to emerge at the bottom 21. The relation between Cp and Cv is given by :
(C) It takes several seconds for the unmagnetized 2
iron to emerge at the bottom  S   V 
(A) C p  C v   T    
(D) The bar magnet just hangs near the middle  V  T  T  P
of the aluminium pipe
18. The self-inductance per unit length of a long  S   V 
(B) Cp  C v   T    
solenoid, of radius R, carrying n turns per unit  V T  T  P
length is given by :
2
0 R  p   S 
(C) Cp  C v   T    
(A) L  n  V  T  T  P

(B) L  0 R 2 n 2
 p   V 
(D) Cp  C v   T    
(C) L  0R 2 n 2  V T  T  P

0 R 2 22. If 1 mole of an ideal gas is allowed to expand

(D) L 
n isothermally to 8 times its initial volume, the
19. The electric field associat ed with an entropy change in terms of the gas constant R is
electromagnetic wave is given by closest to :
ˆ
E  (3k̂  j) sin (8x + 4y + z – t) (A) 2
The value of  is (c is the speed of light) :
(B) 1
(A) c
(B) 3c (C) 3
(C) 6c
(D) 4
(D) 9c

SM-29574–A 4
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23. The volume expansion coefficient  at constant 25. Which of the following set of differential equations
pressure is given by : characterises a given hydrostatic system, where
dU, dH, dF and dG are changes in internal energy,
1  V  enthalpy, Helmholtz energy and Gibbs energy
(A)    
v  T  p respectively ?
(A) dU = TdS – pdV
 V 
(B)   V   dH = TdS + Vdp
 T  p
dF = SdT – pdV

1  V  dG = –SdT + Vdp
(C)    
v  S  p (B) dU = TdS – pdV
dH = TdS + Vdp
1  S  dF = –SdT – pdV
(D)    
v  T  p
dG = SdT + Vdp

24. Which of the following statement is incorrect (C) dU = TdS – pdV

according to the 3rd law of thermodynamics ? dH = TdS + Vdp

dF = –SdT + pdV
(A) All expansion coefficients tend to be zero
dG = –SdT + Vdp
as the temperature approaches absolute zero
(D) dU = TdS – pdV

(B) As the temperature approaches absolute zero, dH = TdS + Vdp

the susceptibility of a paramagnetic salt dF = –SdT – pdV
increases rapidly dG = –SdT + Vdp
26. The mean translational energy per degree of
(C) The entropy changes in all reversible
freedom for the molecules of a gas obeying
isothermal processes tend to zero as the Maxwell’s distribution is :
temperature approaches absolute zero
(A) kBT

(D) It is not possible to reduce any assembly to 1

(B) k BT
the absolute zero of temperature by any 2

process however idealized in a finite 3

(C) k BT
number of operations 2
(D) 2kBT

SM-29574–A 5 [Turn over

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27. The mean free path of an atomic gas obeying 30. The total number of microstates for a system of 5
Maxwell’s distribution of velocities is : indistinguishable particles distributed over four
non-degenerate levels of energies 0, , 2, 3 is :
(A) Directly proportional to temperature
(B) Inversely proportional to temperature (A) 120

(C) Directly proportional to the size of the atoms (B) 625

(D) Directly proportional to the density of the (C) 1024

gas (D) 24
28. The coefficients of viscosity and diffusion for a 31. Which of the following statement is incorrect ?
gas are 2.31 × 10–6 Nsm–2 and 1.78 × 10–6 m2 s–1,
(A) According to Planck’s law exchange of
respectively. Given the average molecular speed
energy between matter and radiation can
is 330 ms–1, the density and mean free path only take place in bundles of a certain size
respectively are :
(B) According to Planck’s law the quantum of
(A) 1.61 kg m–3 and 8.32 × 10–8 m energy is directly proportional to its
–3 –8
(B) 1.72 kg m and 6.32 × 10 m frequency
(C) 1.29 kg m–3 and 1.61 × 10–8 m (C) Radiation pressure is independent of the
–3
(D) 1.56 kg m and 8.32 × 10 m –8 volume of an enclosure and varies as the
fourth power of temperature is direct result
29. At absolute zero, the Fermi-Dirac distribution
of Wien’s law
function n() is given by :
(D) Planck’s law explains all the observed
(Where kB is the Boltzmann constant, T is the
results in the entire spectral range for
temperature and f is the Fermi energy)
blackbody radiation
1 32. A blackbody at temperature T emits radiation at
(A) n()  
f a peak wavelength . If the temperature of the
k T
1
eB blackbody becomes 6T, the new peak wavelength
is :
1
(B) n()  
f 
k T
1 (A)
eB 6

1 
(C) n()    (B)
f 36
1
e BTk


(C)
1 12
(D) n( )   
f
1 
ek B (D)
18

SM-29574–A 6
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33. Two harmonic waves represented by : 37. If the intensity distribution produced by a single
Y1 = 5 cos (12t – 13x)m and slit is represented as Isingle, then the distribution
Y2 = 5 cos (8t – 11x)m produced by a double slit in Fraunhofer
are superposed to form a wave group. The group diffraction is given by :
velocity of the wave group is : (A) Idouble = Isingle cos2
(A) 1 m/s (B) Idouble = 2Isingle cos2
(B) 2 m/s (C) Idouble = 4Isingle cos2
(C) 3 m/s (D) Idouble = Isingle cos
(D) 4 m/s
34. One-dimensional wave equation is represented 
where   d sin  , and ‘d’ is the distance
by : 
between the two slits.
 2 1  2
(A)  38. For  = 10 × 10–5 cm, the most intense focal point
x 2 v 2  2 t of a zone-plate with raddi, r = 0.2n cm will be
n
 2  1  2 at a distance of :
(B) 
x 2 v  2 t (A) 200 cm
 1  2 (B) 400 cm
(C)  2 2 (C) 600 cm
x v  t
2
(D) 800 cm
   1  2
(D)    2 2 39. The displacement y of a travelling wave in the
 x  v t x-direction is given by :
35. In the Newton’s Rings experiment if the incident
 
light consists of two wavelengths 4000 Å and y  10 5 sin  450 t  3x   m
4002 Å then the distance (from the point of contact)  5
at which the rings will disappear is given by where x is in meters and t is in seconds, then the
(assume that the radius of curvature of the curved speed of the wave motion is :
surface is 400 cm) : (A) 450 m/s
(A) 8 cm (B) 100 m/s
(B) 4 cm (C) 150 m/s
(C) 2 cm
(D) 300 m/s
(D) 1 cm
40. The ratio of potential energy to the kinetic energy
36. In the Michelson interferometer arrangement, if
of a body executing SHM when the displacement
one of the mirrors is moved by a distance of
is equal to one-fourth of the amplitude is :
0.08 mm, 250 fringes cross the field of view. The
wavelength of monochromatic light used is : (A) 1 : 4
(A) 5400 Å (B) 1 : 16
(B) 6400 Å (C) 1 : 32
(C) 6800 Å (D) 1 : 15
(D) 5800 Å

SM-29574–A 7 [Turn over

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41. The photoelectric threshold wavelength for Nickel 45. Which of the following statement is incorrect ?
(work function of Ni = 5 eV) is : (A) In j–j coupling the spin and orbital angular
(A) 248 nm momentum of each particle add to give a
(B) 210 nm total angular momentum j for that particle,
(C) 560 nm and then J equals the sum of the individual
(D) 380 nm j vectors
42. The de Broglie wavelength of a tennis ball of mass (B) In L–S coupling the spins of all the particles
140 g after it is slammed across a wall with a and the orbital angular momenta of all the
speed of 15 m/s is approximately :
particles add to yield total S and total L,
(A) 2.7 × 10–33 m
which then add to yield J
(B) 2.7 × 10–34 m
(C) In presence of a magnetic field the splitting
(C) 3.4 × 10–33 m
of the energy levels in the atom gives rise to
(D) 3.1 × 10–34 m
a splitting of the spectral lines emitted by
43. The quantum mechanical operator for the
the atom
momentum of a particle moving in one dimension
is given by : (D) Atomic states with different n values but the
same j values have slightly different energies
d
(A) i because of the interaction of the spin of the
dx
electron with its orbital motion
d
(B)  i 46. Which of the following statement is incorrect ?
dx
(A) There are three generations of leptons, each
d consisting of a charged lepton and its related
(C) i
dt
neutrino
2 d (B) The photon is the most familiar lepton and
(D) i
dx is the only one that is stable
44. The ground state radial probability density for
(C) Muon is the second-generation lepton with
the Hydrogen atom is proportional to (where a0 is
a lifetime of 2.197 × 10–6 s
the Bohr Radius) :
r
(D) The tau neutrino is stable and has a weak
(A) r e
a0 isospin of 1/2
r 47. Which of the following set of -decay chains is
2 a0
(B) r e possible ?
2 r (A) 4n, (4n – 1), (4n – 2), (4n – 3)
(C) r 2 e a 0
(B) 4n, (4n + 1), (4n + 2), (4n + 3)
2r
(C) 4n, (4n + 2), (4n + 4), (4n + 8)
(D) r 2 e a 0
(D) 4n, (4n – 2), (4n – 4), (4n – 8)

SM-29574–A 8

48. The colour charge of a quark has which of the 52. Identify the incorrect statement about the tunnel
following possible values ? diodes :
(A) Red, blue and green (A) Tunnel diodes are capable of very fast
(B) Yellow, blue and green operation by using quantum mechanical
(C) Yellow, blue and white effects
(D) Yellow, white and green
(B) The positive differential resistance in their
49. The reciprocal lattice corresponding to a direct
operation, allows them to be used as
face-centred cubic lattice is a :
oscillators
(A) Face-centred lattice
(B) Simple cubic lattice (C) In forward-biased tunnel diodes, there is a
(C) Body-centred cubic lattice region in the V-I characteristics where an
(D) Hexagonal lattice increase in forward voltage is accompanied
50. Choose the incorrect statement : by a decrease in forward current
(A) The heat capacity of most insulators at low (D) Tunnel diodes are p-n-junctions, where
temperatures is proportional to the cube of conduction band electron states on the n-side
the temperature are more or less aligned with valence band
(B) The heat capacity of most conductors at low hole states on the p-side
temperatures is proportional to the first 53. Which of the following semiconductor parameter
power of the temperature
can be determined from the knowledge of the Hall
(C) According to the Debye model, the heat
Coefficient ?
capacity of a solid at high temperatures is
(A) Fermi level and band gap
equal to 3 NkB, where N is the number of
unit cells in the solid (B) Temperature coefficient of resistivity
(D) According to the Einstein’s model, the heat (C) Mobility and concentration of charge
capacity of a solid at high temperatures is carriers
equal to 3NkB, where N is the number of (D) All the above parameters can be determined
unit cells in the solid 54. In a p-n junction diode, the current due to the
51. In winter, a metal block is cold to touch than a
majority electron carriers in the n region is given
wooden block, although both are at the same
temperature. The most appropriate reason is by (where I o is the current with no bias and V is
that : the forward bias applied) :
(A) In metals, the heat energy is carried away eV

by phonons only (A) I o e kT
(B) In metals, the thermal conductivity is only eV
determined by free electrons (B) Io e kT
(C) In metals, the thermal conductivity is
eV 2
determined by both phonons and free 

electrons, thereby making the coefficient of (C) I o e kT

thermal conductivity ‘K’ large eV 2

(D) It is because meals have small values of ‘K’ (D) I o e kT

SM-29574–A 9 [Turn over


55. The ratio of conduction electron concentration 58. Which of the following statements is NOT true ?
(per cm3) at room temperature of a typical metal (A) For an ideal MOSFET biased in saturation,
(copper) t o that of a typical int rinsic the magnitude of the small signal current gain
semiconductor (germanium) is approximately for a common drain amplifier is infinite
equal to : (B) MOSFET is a voltage-controlled device
(A) 1022 (C) When the drain voltage in an n-MOSFET is
(B) 1018 negative, it operates in inactive region

(C) 1010 (D) MOSFET can be used as a voltage-

controlled inductor
(D) 1014
59. Which of the following statements is correct ?
56. The application of a magnetic field on a
(A) RC coupling is used for power amplification
semiconductor :
(B) The frequency response of transformer
(A) Decreases the resistivity of a semiconductor
coupling is excellent
and produces a decrease in the magnitude
(C) The voltage gain is practically expressed in
of the Hall coefficient
dB
(B) Increase the resistivity of a semiconductor
(D) The final stage of a multistage amplifier uses
and produces an increase in the magnitude
RC coupling
of the Hall coefficient
60. The output voltage of the circuit below is :
(C) Decreases the resistivity of a semiconductor
and produces an increase in the magnitude
of the Hall coefficient
10 
(D) Increases the resistivity of a semiconductor
and produces a decrease in the magnitude +5 V
of the Hall coefficient
15  Vout
57. For using a transistor as an amplifier, the correct
option regarding the resistances of base-emitter
(RBE) and base-collector (RBC) junctions is :
(A) 3V
(A) Very high RBE and very low RBC
(B) 6V
(B) Very low RBE and very high RBC
(C) 9V
(C) Both RBE and RBC are very low
(D) 12V
(D) Both RBE and RBC are very high

SM-29574–A 10
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 ROUGH WORK

SM-29574–A 11 [Turn over


 ROUGH WORK

SM-29574–A 12 63

 s" No. .......9.F..{............

ENTRANCE TEST!2022
SCHOOL OF PHYSICAL & MATHEMATICAL SCIENCES
PHYSICS
Total Questions ; 60 Question Booklet Series I lJ I

Time Allowed : 10 Mitrutes Roll No. :

InstructioDs for Catrdidates :

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completerl The in-comptete"a*tei"aiirii" G
read by lhe OMR Scann-ei and no corirplaint to ihis efecr shall
b;i;i;rfi;;a ""icori"iiii
5. Us€. only blue/black ball po int pen to darken the circle of correct/most
appropriate rcsponse. In no case
geyink pen or pencil should be used.

6 Do not darken more than one circle ofoptions for any question. A quesdon
with more than one darkened
response shall be considered \lrons.

. ]IIETsTILX". iljff$:iy"i:g',9:mH"*ftHJ:". Each wrong answer wil read to the deduction

t who woutd obtain posirive score in Entrance Test Examinarion

shall be eligible
3lY#"r:.ffdtdates
9. Do not make any stray mark on the OMR sheet.

10. Calculators and mobiles shall not be permitted inside the

examination hall.
11. Rough work, ifany, should be done on the blank sheets provided with the question booklet.
12 be handted carefirlly and it shoutd not be folded or mutilated in which case
959:f^"ll!:..tmust
lr wll nol be evaiualted.
,
13. Ens!rc that your OMR Answer Sheet has been signed by the Invigilator
and the candidate himselfl

14. At $e etrd of de-examinbtion. hand over the OMR Answer Sieet to lhe
o'' invigilaror who will hrst tear
oMR sheer in presence of rh. c"rdidar;;;;;;"";;'ii,""c'iliioiii:. 6iiy"ii,.ffi
H;ori€ilal
sv-1477GB r
o9, [Turn over
l. A given amount of heat cannot be completely 5. Which ofthe following relations is con6ct wher(
converted into work. However, it is possible to y is specific heat ratio, f is the number of degreer
convert a given amount of work completely into of freedom ?
heat. This statement results from :
(A)y=l+f
(A) Zeroth law of thermodynamics
@) r= 1-r
(B) First law of thermodynamics

(C) Second law of thermodynamics (Q y=r+f

(D) Third law of thermodynamics
.. )
2. Fot thermodyranic syslern- work done in a given
a
(D) Y=l+;
'I
process depends upon :
6. The thermodynamical potential, enthalpy is
(A) The path H = U + pY wherc U is tlle intemal energy, p the
(B) State of the system pressure and V is the volume. Then :

(C) Extemal pressure

(A)
f aH)
r=-lasJ" -dv=[anJ.
f aH)
(D) Nature ofthe system

3. In a reftigerator, the heat exhausted to the outer

(B)
f aH)
r= las]v -ou=[+
f as)
atrnosphere is :
,,.
(A) Less than that absorbed fiom the contents of
the refrigerator
<"r ,=-[ff), *dv=(#)"
(B) Same as that absorbed from the contents

(c) More than that abso$ed fiom the contenrs

(D) Any of the above depending upon the

r, '-(#), -."=(#)"
working substance 7. A fluid at high presswe is throttled thrcugh a
4. The intemal energy ofa perfect monoatomic gas nafow porous opening in a tegion of lower
at27'C is : pressure without any tlansfer of heat. In such
a
process :
(A) Only kinetic

(B) (A) The entropy does not change

Only potential
(B) The Gibbs ftee energy rcmains consrant
(C) Partly kinetic and potential
(C) . The enhopy is decreased
(D) Only vibrational
@) The enthalpy ofthe fluid is/constanr r

sv-l477G8 t
o0
 8. Under equilibriurn conditions, thelhemodlnamic r 12. According to the Fermi-Di.ac statistics the number
variable associated with the black body radiation ofpalicles in a phase cell can be .
at temperature T u'hich rcduces to zero is : (A) Any number
(A) Entropy (B) Only two
(B) Helrnholtz free energy
(C) Only three
(D) Onty one
(C) Gibbs free energy
13. Two tuning forks A and B of nea.ly equal
@) Pressure liequencies are employed in an optical experiment
9. The spectrum ofradiation emitfed by a black body to produce Lissajous figures. On slightly loading
at a temperatue i 000K peaks in the region fork A, it is observed that the cycle of chaoge
: of
(A) Visible range of frequencies figure slows down from 10 to 20 seconds. Ifthe
ftequency of fork B is 256 Hz, the Sequency
(B) Infiared range of fiequencies of
fork A after loading is :
(C) Ultraviolet range of frequencies
(A) 256.05 Hz
@) Microwave range of frequencies @) 200.05 Hz
10. The avemge value of velocity v in Maxwellian (C) 1s6.0s Hz
distribution ofspeeds is :
(D) 100.05 Hz

(A) Zerc
14. A plane wave traverses a medium, the
displacement ofparticles is given by r{(x,
D = 0.01
l
(B) sin(47r1 0.02rx), (V and x are measured in
t mete$
and seconds), then the amplitude and wavelenglh
KT ofthe wave are rcspectively
(c) :

-m (A) 0.01 m and 100 m

(B) 0.01 s and 100 In
nr
(D)./:
vm
(C) 0.01 m and 100 s
(D) l m and 100m
ll. The m€n translational kinetic energy per molecule 15. At object ofmass 2 kg hangs ftom a spring of
ofan ideal gas is : negligiblemass. The spring is extended
by 2.5 cm
(A) kr when the object is attached. The top end
of the
spring is oscillating up and down in SHM
I with an
(B)
tkr amplitude of 2 n]m. If g = l Omsr, then the
frequency ofthe oscillations is :
angular

(c)
3 (A) 200 rad s
'
2-' (B) 20 rad s
'
2
(C) 10 rad sr
@) - (D) 100 rad s-l

sv-147?6_8
3
oo [Turn over
16. The fringe width in terms of wavelength (L), 19. Consider two waves passing tbrough the same
distance between the slits and screen (D) and string. Principle of superposition for displacement
distance of separation of slits (d) is : says that the net displacement of a particle on the
string is the sum of the displacements produced
?d
(A) D by the two waves individually. Suppose we state
the similar principle for the net velocity and t}Ie
?",D ofthe particle. Such a principle
(B)d net kinetic energy
will be valid for :

(A)
(c).ID,
d
Both the velocity ard the kinetio energy

(B) The velocity but not for fie kinetic energy

(D) ?,D
d
(C) The kinetic energy but not the velocity

(D) Neither the velocity nor the kinetic €aeryy

t7. In a double slit interference experiment, one of
20' The positions of the principal maxima are given
the slits is covered by thin mica sheet rhor"
by gating equation :
refiactive index is 1.58. The distance d = 0.1 cm
and D = 50 cm. Due to inlroduction of mic4 the (A) d'sin0 = mL, m = 0,1,2,....
central fiinge gets shifted by 0.2 cm. The thickness
(B) X, sine = md, m= 0,1,2,....
of mica sheet is :
(C) dsin'z 0 =nt?l,, m = 0,1,2,....
(A) 6.7x104 cm
(D) dsin0 = ml., m = 0,1,2,....
(B) 2.2xl0r cm
21' The de-Brogile wavelength of a particle with
(C) 1.1x10rcm
charge q and mass m is accelerated through a
(D) 0.1x10r cm
potential difference V is :

18. Monochromatic light of wavelength 600 nm is

h
used in a Young's double slit experiment. One of (A) 1"=
the slits is covered by a transparent sheet of {mqv
thickness 1.8xl0r m nade up of material of
hm
refiactive index 1.6. The number of fiinges that (B) r=
{qv
shift due to introduction of sheet is :

(A) 6 h
(q r= {zmqv
(B) 12

(c) 18 (D) ?'=0

(D) 20
'a

sv-1477GB 4
oo
 22. Ar elector ard aproton each having en eryy
5 eV 26. The magnitude
are incident on a bauier of 10 the angular momentum due
eV high and to
I angsuom wide. The corect statement
is : electron spin for soin
- is . ' I -'
(A) The electron will have greater uansmission 2
probability
.A
(B) The proton will have greater rransmission
(A);h
probability
(C) Both electon and proton have
tansmission probability
the same
ril f*
2
(D)
None ofthem penetate the potential
23. Which one of the following is correcr
rn respect (c) ^t;
of an electron and a proton havlng
the same
;h,
de-Broglie wavelength of2
angshom ?
(A) Both have same kinetic energ' .A
(D) :h
(B) The kinetic energy ofthe proton
rs more than
that ofthe electron 27. The maximum number ofelectrons
a shell can hold
(C) Both have the same velocity is (n is a principal quantum
number) :
(D) Both have the same momentuur
(A) 4n,
24. The energy of nii level ofthe hydrogen atom is
propodronal to : (B) 2n,
(A) n (c) (2n+1)'
@) n'
(D) 2n+1
1
(c)
;, 28. The number N ofundecayed
nuclei at the time t in
telms of the decay prcbability
(D)f
., per unit time )- of
n the nuclide involved and the
number
25. A sample of a certain element undecayed nuclei at t = 0
\ of
is placed in a is :
0-300-T magnetic field and
suitably excited. (A) N = Nos+,
H-ow far apat are the ZeemaD componenls
ol.lhe
4)u-nrn speclral line ofthis
element ?
(B) N=N ert
(A) 0.00283 Dm
(c) N = \e-&'?
(B) 0.0283 lun
(C) 0.283 nrn (D) N = \e^,'?
@) No Zeeman effect takes place

sv-1477GB
5
oo [Turn oyer
29. The coordination number in case of simple cubic 34 int nsic semiconductor is
The Fermi level of an

stluctlue is : pinned at the center of the band gap. The

(A) 12 probability of occupation of the highest electron
(B) 6 state in valenae band at room tempemlwe will
(c) 2 be:
(D) I (A) Zero
30. Electronic contribution to specific heat ofmetals
at low temperatue is proportional to : I
(B) ;
(e) ri
(B) T' I
(c) r] \"] 2
(D) T' (D) Infinity
31. The valence electrons do not diectly determine
the following property ofthe metal : 35- The avalanche breakdown in a pn-junction is due

(A) Electrical conductivity to:

(B) Thermalconductivity (A) Shift of Fermi level
(C) Shear modulus
(D) Metallic luste (B) Cumulative effect of conduction band
electron collisions
32. Electdcal conductivity of a metal in terms of
mass (m), charge (e); concentration (n) and (C) Widening of forbidden gaP

relaxation time (t) of electron is :

@) None of the above
(A) rurel

(B)
mne 36. The depletion layer in a pn-junction diode consists
,| of layers of :
-
ne't (A) Positively charged donors on the p-side and
,
^.
m negatively charged acceptors on the n-side

netr' (B) Negatively charged donors on the p-side and

(D)
m positively charged acceptors on the n-side
33. -
The impurity atoms with which pure silicon should
(C) Positively charged dono$ on the n-side and
b9 doped to make a p-t)?g semiconductor are :
negatively charged acceptors on the p-side
(A) Phosphorus and boron
(B) Boron and aluminium (D) Negatively chaxged donors on tlte p-side and

(C) Boron and antimonY positively charged acceptors on the n-side

(D) Anlimony and aluminium

sv-1477G8
o0
37. If a transistor amplifier has a gain of 20dB, then The principle ofrelativiry states :
the ratio of output to input power is :
(A) The Laws of Physics are same for any rwo
(A) 100
non-inertial observers
(B) 10
(B) The Laws ofPhysics are not same for inertial
(c) 20
observers
(D) 200
(C) The Laws ofPhysics are same for all inertial
38. The DC load line of an amplifier circuit : observers in uniform motion relative to each
(A) Has a positive slope other
(B) Has a curvatwe (D) No relativity exists
(C) Does not contain the Q-point 43. A paxticle ofmass m released fiom a height h falls
(D) Has a negative slope under gravity. Assuming that the resistance offercd
39. An increase in diode voltage leads to : by air is mkv,, where k is a constant, v the velocity
(A) Incrcase in diode resistance ofparticle. The teminal speed ofthe paticle is :

@) Dectease in diode rcsistance

(C) No change in diode resistance (A) ;
(D) Increase or decrease depending on the nature
ofdiode (B)
40. Ajunction freld efect tansistor behaves as i .F
(A) Voltage conholled crment source (c)
^,G[
(B) Voltage contoolled voltage source
(C) Cuqent controlled voltage source (D)
(D) Cuaent controlled cufient source
'E
41. A body of charge q starts from rest and a"qui."s a 44. The kinetic energy of a particle continuously
velocity v = 0.5c. The new charge of the body increases with time, then :
is: (A) The resultant force on the particle must be
parallel to the velocity at all times
q
(B) The angle berween force and velociry is acure
{r-(u.))-
all the time
(B) q (C) Its height above the ground continuously
lncleases
(c) q 1-(o.s)3
(D) The angle berween force and velocilv iq qoo
(D) q
always

sv-14776-8 7
oo lTurn over
 towards ei
45. A sphere of radius r and mass m rolls without 48' Two particles initially at rest, move
slipping on a surface with speed v. The ratio of other under a mutual force of athaction. If at

translational kinetic energy aJd rotational kinetic instant, tie speed of one particle is v and spee(

energy is : the other particle is 2v, tien the speed oftle cer
ofmass oflhe system is :

1
(A) -5 (A) Zerc

z tB)
(B)
5
(c) l.5v
I
(c)
t (D) 3v

49. The electric field inlensity on the surface

@)
I 8
charg€d conductor is :

46. ln the case of geostationary satellite, the : (A) Zero

(A) Rotation ofthe earth and rcvolution of t]Ie (B) Directed nomally to the sruface
satellite will be in the same direction
(C) Dirccted tangentially to tlle surfape
(B) Rotation of the earth and revolution ofthe
satellite will be in the opposite dircction
(D) Dirccted at 45o to the surface

(C) Angular velocity of the earth's rotation and 50. For a particle executing simple hannonic mi
angular velocity of revolution of the salellite then :
will be equal and in the same direclion
(A) Time average of the total energy is p
(D) Angular velocity of the eath's rotation and kinetic energY
angularvelocity of revolution of the satellite
will be different and in the opposite dircction @) Time average of the total e[ergy is f
potential energy
47. When a satellite moves around the earth, the
quantitY which remains c,onstant :
(C) Time average ofpotential energy is sa
time average of kinetic energY
(A) Angular velocitY
(D) Time avemge ofpotential energy is nol
(B) Kinetic energY
as time average ofkinetic energy
(C) Potential energY

(D) Areal velocitY

sv-1477GB 8
00
 51. A sphere ofradius R has a charge density p which
54. If magnetic field E V x A,
= A being the vector
varies with distance as p
= c qrf,
is a constant. potential, then for constant magnetic field we
The electric field at a distance r < R vaies with r have :
as:
l/- -\
-l (A) A- =:lBxA
' 2', 'I
(B) E
"..u6 ' A=:lBxil
fB)
2'
(C) Eo.tl
.^. - /-
(uj A=(Bxi/xi
@) Eart'
r{, A charge q sits at one ofthe comers ofa cube (D) 0
of
side a" The flux through one side ofthis cube
is : 55. A hollow sphere ofrcdius R has a charge +q
on rts
(A) Zerc surface. Ifthe charge on the sphere is doubled
and
q its radius is halved, the energy associated with
the
electric field :

q (A) Increases eight times

(c) ;- (B) Inoeases fow times

o (C) Remains same

(D) .-
(D) Decreases four times
53. Two large qetal plates each of area A are held a
56. r:'recrJtc Uetd ustde a conduclor carD/ing
small distance d apart. The electric field is surface
:
charge density o is :
(A) Zero everywhere
(A) Zao
(lj.) t = 0 between the plates aad E , ;- ourside
(B)-o
the plates

(c) t:0 outside the plares and E =

o
- between

|tepldes
(' F
(D) E = :- ev€rywhere (D)
!;

sv-14776_8
90 lTurn oyer
57. In an electromagnetic wave, the direction of the 59. The vector potential in a region is given as

magnetic field is : [ = -yi + zxj. The associated magnetic freld B

is:
(A) Palallel to the electric field
(e) i+t
(B) Perpendicular to the electric field
(e) :[
(C) Completely random
(c) -i+zj
(D) Antipaxallel to the Po]'rxting vector

a plane
@) -i+i+t
58. A ftee elechon is placed in the path of .^
ou' If charge on a parallel plate capacitor is
electromagnetic wave. The elecrron will start
current is :
q=
% sin ot, then the displacement
movlng :
(A) o)% cos o)t
(A) Along the electdc field
q"
Along the direction ofmagnetic field
(B) - cos tot
@)
(C) Along the direction ofpropagation ofwave q"
(C) -: o cos ot
@) Cannot move at all
@) --o% cos ot

sv-1477G8 10
00
 Sr. No. .............................

ENTRANCE TEST-2021
SCHOOL OF PHYSICAL & MATHEMATICAL SCIENCES
PHYSICS
Total Questions : 60
Question Booklet Series A
Time Allowed : 70 Minutes Roll No. :

Instructions for Candidates :

1. Write your Entrance Test Roll Number in the space provided at the top of this page of Question Booklet and
fill up the necessary information in the spaces provided on the OMR Answer Sheet.
2. OMR Answer Sheet has an Original Copy and a Candidate’s Copy glued beneath it at the top. While making
entries in the Original Copy, candidate should ensure that the two copies are aligned properly so that the
entries made in the Original Copy against each item are exactly copied in the Candidate’s Copy.
3. All entries in the OMR Answer Sheet, including answers to questions, are to be recorded in the Original Copy
only.
4. Choose the correct / most appropriate response for each question among the options A, B, C and D and
darken the circle of the appropriate response completely. The incomplete darkened circle is not correctly
read by the OMR Scanner and no complaint to this effect shall be entertained.
5. Use only blue/black ball point pen to darken the circle of correct/most appropriate response. In no case
gel/ink pen or pencil should be used.
6. Do not darken more than one circle of options for any question. A question with more than one darkened
response shall be considered wrong.
7. There will be ‘Negative Marking’ for wrong answers. Each wrong answer will lead to the deduction of
0.25 marks from the total score of the candidate.
8. Only those candidates who would obtain positive score in Entrance Test Examination shall be eligible for
admission.
9. Do not make any stray mark on the OMR sheet.
10. Calculators and mobiles shall not be permitted inside the examination hall.
11. Rough work, if any, should be done on the blank sheets provided with the question booklet.
12. OMR Answer Sheet must be handled carefully and it should not be folded or mutilated in which case it will not
be evaluated.
13. Ensure that your OMR Answer Sheet has been signed by the Invigilator and the candidate himself/herself.
14. At the end of the examination, hand over the OMR Answer Sheet to the invigilator who will first tear off the
original OMR sheet in presence of the Candidate and hand over the Candidate’s Copy to the candidate.

SS-5466–A 1 [Turn over


1. Choose the incorrect statement : 4. The Michelson–Morley experiment was designed to
show :
(A) If total linear momentum of a system of particles
is zero, the angular momentum of the system is (A) The difference in the speed of light between
the same around all origins
directions parallel and perpendicular to the
(B) Even if total linear momentum of a system of Earth’s motion
particles is not zero, the angular momentum of
the system is same around all origins (B) The speed of light in vacuum is not invariant

(C) If the total force on a system of particles is zero, (C) That Galilean transformation equations are valid
the torque on the system is the same around all for the speed of light to be invariant
origins

(D) When a rigid body rotates around an axis, every (D) None of the above
particle in the body remains at a fixed distance
5. An astronaut sees two spaceships flying apart with
from the axis
speed 0.99c. The speed of one spaceship as viewed
2. If F is the time-dependent force F = A – Bt, where by the other nearly is :
A and B are positive constants, the velocity v(t) in
terms of A, B, m (mass), v0(initial velocity) and x0(initial (A) 0.99995c
position) is given by :
(B) c
(A) v(t) = v0 + At /m – B t2/2m

(B) v(t) = v0 + At2 /m – B t/2m (C) 0.95555c

(C) v(t) = v0 + B t2/2m (D) 0 c

(D) v(t) = v0– B t2/2m
6. A particle moves in a circular orbit with the potential
3. How far approximately will a small boat move, when energy U(r) = –A/rn, where A > 0. For what values of
a man with mass 64 kg moves from back to front of ‘n’ are the circular orbits stable :
the boat ? Given that length of boat is 2.7 m, its mass
is 92 kg. (Water resistance and tilt of the boat is (A) n > 2
negligible)
(B) n  2
(A) 1.03 m

(B) 1.40 m (C) Only for n = 2

(C) 2.74 m (D) Only for n = 1

(D) 1.10 m

SS-5466–A 2

7. A particle of mass ‘m’ is located in the y-z plane at 10. The graph of the function as shown in Fig.1 is best
x = 0, y = 3, z =3. Its moment and products of inertia described by :
y
relative to the origin written in the form of an Inertia
8
matrix are : 6
 2 0  1 4
 
(A) I = 9m  0 1 0  2
  1 0 1  x
–4 –2 2 4
–2
  1 0  1
–4
(B) I = 9m  0 1 0 
–6
 1 0 1 

 2 0  1 Fig. 1
  (A) ex cos(x)
(C) I = m  0 1 0 
  1 0 1  (B) e–x cos(x)
(C) ex sin(x)
1 0 1 (D) e–x sin(x)
 
(D) I = m  0 1 0 
11. If a force F is derivable from a potential function V(r),
  1 0  1
where r is the distance from the origin of the coordinate
8. A marble of mass 0.1 kg and radius 0.25 m is rolled system, it follows that :
up a plane of angle 30o. If the initial velocity of the (A)  × F = 0
marble is 2 m/s, the distance ‘d’ it travels up the plane (B)  · F = 0
before it begins to roll back down is equal to : (C)  V
(A) 4 m (D)  2 V= 0
(B) 4/5 m 12. Which of the following expressions for a vector
(C) 4/7 m 
potential A does represent a uniform magnetic field
(D) 4/9 m
of magnitude B along the z-direction ?
9. A thin sheet of mass M is in the shape of an equilateral 
(A) A  x Bĵ
triangle with side L. The moment of inertia around an
axis through a vertex, perpendicular to the sheet is :  1 1
(B) A  xB î  y Bˆj
(A) 5/7 ML2 2 2
(B) 5/12 ML2  1 1
(C) A   yBî  xBĵ
(C) 5/9 ML2 2 2

(D) 1/2 ML2 (D) A  zBî

SS-5466–A 3 [Turn over


13. For a particle moving in a central force field, which 16. A square loop of wire (side a) lies on a flat surface, a
one of the following statements is correct ? distance s from a very long straight wire, which carries
a current I as shown in Fig. 2. The flux of B through
(A) The motion is restricted to a plane due to the
the loop is :
conservation of angular momentum a
(B) The motion is restricted to a plane due to the
a
conservation of energy only

(C) The motion is restricted to a plane due to the s

conservation of linear momentum I
Fig.2
(D) The motion is not restricted to a plane

14. The magnetic field of a dipole can be written in the 0 sa

(A) Ia ln 
following coordinate free form : 4  s 

3 0 
[m·r̂ ] r̂  m 
0 sa
(A) 2 (B) Ia ln 2 
4r 4  s 

0  
(B) 3
m·r̂  r̂  m (C)
0 sa
Ia ln 
4r 2  s 
3 0 
(C) 3
m·r̂  r̂  m  0  s2  a 2 
4r Ia l n  
(D) 4
 s 
(D)
1
2
m ·r̂  r̂  m 
4r 17. A stationary iron sphere of radius R carries a charge
15. Which of the following statement is incorrect ? Q and a uniform magnetization M. The magnitude of
angular momentum stored in the electromagnetic fields
(A) Maxwell’s equations in free space are not is :
invariant under Lorentz transformation
2
(A)  M Q R2
(B) Maxwell’s equations in free space are invariant 9 0
under Lorentz transformation
2
(C) Maxwell’s equation show that electromagnetic (B) MQ
9 0
waves travel with the same speed in every inertial
frame 2
(C) MQR
9 0
(D) Maxwell’s equations were able to unify the
theories of electromagnetism and optics 1
(D)  M R2
2 0

SS-5466–A 4

18. The electromagnetic theory suggests that the electric 22. The van der Waal’s equation of state for an ideal gas
vector of an electromagnetic wave suffers a sudden is given by :
phase change of 180o on reflection from the plane
reflecting surface but the magnetic vector suffers :  a 
 p  2 (V  b)  RT
(A) A phase change of 180o  V 
(B) A phase change of 90o
The critical constants for such a gas are given as :
(C) A phase change of 270o
(D) No phase change
2 a 8a
19. In free space, the Poisson equation for electrostatics (A) VC = b, pc = 2 , TC =
3 27 b 27Rb 2
becomes :
(A) The Maxwell’s equation ·B  0 1 a 8a
(B) VC = b, pc = 2 , TC =
(B) The Laplace equation 3 3b 27Rb 2
(C) The steady state continuity equation
(D) The Ampere’s circuital law a 8a
(C) VC = 3b, pc = 2 , TC =
20. For an anisotropic dielectric media, the relative 27 b 27 Rb
permittivity is a :
1 a 8a
(A) Vector quantity (D) VC = b, pc = 2 , TC =
2 3b Rb2
(B) Scalar quantity
(C) Tensor quantity 23. Which of the following shows the correct relationship
(D) None of the above because relative permittivity between the thermodynamical variables ?
is only defined for isotropic media
21. Two ideal polyatomic gases of degrees of freedom  T   S   T   S 
(A)  p   V    V   p 
f1 and f2 at temperatures T1 and T2 are mixed so that  V  p  p  V
there is no loss of energy. If the masses and the number
of molecules of the two gases are m1, m2 and n1, n2,  T   S   T   S 
respectively, the temperature of the mixture will be : (B)  p   V    V   p 
 V  p  p  V
n1f1T1  n 2f 2 T2
(A) n1f1  n 2f 2  p   S   p   V 
(C)  T   V    S   T 
n1f1T1  n 2 f 2 T2  S   p  T  S
(B) n1f1  n 2 f 2
 p   S   p   V 
n1f1T1  n 2 f 2 T2 (D)  T   V    S   T 
(C)  S  p  T  S
n1f1  n 2f 2

n1T1  n 2T2
(D) n1f1  n 2f 2

SS-5466–A 5 [Turn over


24. The approximate number of modes of standing 26. Which of the following represents the phase space of
waves in a chamber of volume 100 cm3 in the frequency a linear harmonic oscillator ?
range 4 × 1014 Hz to 4.001 × 1014 Hz are:
px
(where c = 3 × 108m/s ) :

(A) 1.5 × 1014 x

(A)
(B) 1.5 × 1012

(C) 1.5 × 1010

(D) 1.5 × 1014

px
25. Which of the following statement is not correct ?
x
(A) Stefan-Boltzmann law states that the total rate (B)
of emission of radiant energy by a body per unit
area is related to energy density as fourth power
of its temperature
px
(B) Rayleigh-Jeans formula for the distribution of
energy treats blackbody radiation as standing x
electromagnetic waves which arise due to (C)

multiple reflections at the walls of the enclosure

and each mode

(C) According to Planck, blackbody radiation

chamber is filled up not only with radiation but px

also with the molecules of a perfect gas, which

exchange energy via resonators of molecular x
(D)
dimensions

(D) According to Rayleigh-Jeans formula the energy

density of Blackbody spectrum within the
wavelength range  and  + d  is directly
proportional to the fourth power of the
wavelength

SS-5466–A 6

27. There are two identical particles and each particle can 29. The coefficient of viscosity for a gas having velocity
be in one of the three possible quantum states of gradient in a direction normal to the direction of mass
energies 0,  and 3. The number of microstates of motion is given by :
the system for Maxwell-Boltzmann, Bose-Einstein and
1 2
Fermi-Dirac statistics are respectively : (A)  = m nv
3

(A) 6,6,3 1
(B)  = mn v
3
(B) 3,6,3
1
(C)  = mn 2 v
(C) 3,3,6 3

(D) 6,6,6 1
(D)  = mnv2
3
28. For a Fermi–Dirac system, the thermodynamic
where m is the molecular mass, v is the average
probability of distributing N indistinguishable particles
speed and  is the mean free path of a molecule.
into various energy states subject to Pauli principle is
given by : 30. Choose the incorrect statement :

(A) A real gas shows deviation from perfect gas

g i!
(A)  i
n i! (g i  n i )! behaviour at high pressures

(B) The temperature above which a gas cannot be

ni!
(B)  i g ! (g  n )! liquefied by applying pressure is known as critical
i i i
temperature
(n i  g i  1)!
(C)  i n ! (g  1)! (C) Every gas undergoing Joule–Thomson expansion
i i
at a temperature below the inversion temperature
gi! shows cooling
(D)  i n ! (g  n )!
i i i
(D) van der Waals’ equation is inconsistent with the

Where ni represents the number of particle in ith state statement that all gases approach ideal gas

and gi, the degeneracy of the state. behaviour at low pressures

SS-5466–A 7 [Turn over


31. Fig.3 shows the p-V diagram of an ideal engine. 33. Which of the following statements is CORRECT for
Assuming all the processes to be quasi-static and heat a common emitter amplifier circuit ?
capacity at constant pressure, Cp to be constant. Then (A) There is 180o phase shift between input and
the efficiency of such an ideal engine is given by : output voltages
p (B) Both p-n junctions are forward biased

b (C) There is 90o phase shift between input and output

pb c
voltages
(D) There is no phase shift between input and output

pa voltages
d
a
V 34. For an ideal Fermi gas in three dimensions, the Fermi
Fig. 3
energy f is proportional to n , where n is the number
1

 pa   of electrons per unit volume , then  is equal to :

(A)  = 1 –  
 pb  (A) 2/3
1 (B) 1/3
 pa  
(B)  = 1 –   (C) 1/2
 pb 
(D) 2

 pa  35. The order of magnitude of the energy gap of a typical
(C)  = 1 –  
 pb  semiconductor is :
1 (A) 1 MeV
 p a  1
(D)  = 1 –   (B) 10 eV
 pb 
(C) 1 eV
32. Which of the following equations correctly represents
(D) 10–3 eV
the change in the entropy of an ideal gas ?
36. If the group velocity of waves in a certain medium is
 T2   V2  vg , while its phase velocity is v, then which of the
(A) S = CV ln  T  + R ln  
 1  V1  following is not correct :

 T2   p2  (A) For a normal dispersive medium, v > vg

(B) S = Cp ln  T  – R ln  
(B) For a non-dispersive medium, v = vg
 1  p1 
(C) For an anomalously dispersive medium, v < vg
 V2   p2 
(C) S = Cp ln  V  + CV ln   dv
 1  p1  (D) For a normal dispersive medium,
d
<0

(D) All the above where  represents the wavelength.

SS-5466–A 8

37. Stern-Gerlach experiment verified the : 41. Which of the following statement is not correct ?
(A) Quantization of angular momentum (A) The interference pattern in Young’s two slit
(B) Existence of electron spin experiment is based on the principle of division
(C) That atoms can align themselves in a magnetic of wave front
field only in a few directions
(B) The interference pattern in Michelson
(D) All the above
interferometer is based on the principle of
38. An atom is placed in a magnetic field B. The change
division of amplitude
in the energy of the atom is :
(C) A Michelson interferometer is basically a
(A) E = –g(L + 2S) . B
multi-wave interferometer
(B) E = –g(2L + S) . B
(C) 0 (D) Two-wave interference is characterized by a
(D) E = –g( L + S) . B sinusoidal variation of light intensity with phase

39. The average power o f a harmonic wave, difference between the interfering waves
y = A sin (kx – t), propagating with velocity, v, along 42. When a plane wave is incident normally on N parallel
a stretched string having mass per unit length, µ, is slits, the intensity distribution according to the
given by :
Fraunhofer diffraction is given by :
2 2 2
(A)  A v sin (kx – t)
(B) 2A2v cos2(kx – t) sin 2  2
(A) I = I0 sin N
sin 
 2 2
(C) Av
2 sin 2  sin 2 N
(B) I = I0
(D) Zero 2 cos2 
40. Consider a standing wave, y = 2A cos(t) sin (kx)
sin 2  sin 2 N
n (C) I = I0
with ‘n’ antinodes, on a string of length L. If k = , 2 sin 2 
L
then which of the following is not correct : sin 2 
(D) I = I0 2
cos2 
(A) The average energy of the wave is directly 
proportional to A2
(B) The average energy of the wave is directly b sin  d sin 
where,  = and  = , and
proportional to n2  
(C) The average energy of the wave is inversely
 is the wavelength  , is the angle of diffraction ‘b’
proportional to L
(D) The average energy of the wave is inversely represents the width of each slit and ‘d’ is the separation
proportional to n2 between two slits.

SS-5466–A 9 [Turn over


43. Consider the following statements : 45. Consider the following three experiments :
(1) In the process of diffraction from a circular (a) The x component of the position of an electron
aperture, if the source of light is at a finite distance is measured to within ±x and simultaneously
from the diffracting aperture, then the wave fronts the x component of its momentum is measured
falling on the aperture are spherical wave fronts. to within ±px
(2) Fresnel type of diffraction is defined such that
(b) The x component of the position of an electron
distance between the source or the observation
is measured to within ±x and then later the
screen or both of them are at finite distances from
x component of its momentum is measured to
the diffracting aperture.
within ±px
(3) If the source of light or the observation screen
or both of them are at infinite distances from the (c) The x component of the position of an electron
diffracting aperture, then diffraction falls under is measured to within ±x and simultaneously
the category of Fresnel type of diffraction. the y component of its momentum is measured
(4) If the source of light is at a finite distance from to within ±py.
the diffracting aperture, then the wave fronts In which of these cases does the Uncertainty Principle
falling on the aperture or reaching the screen will NOT impose a limitation on the outcome of the
be plane wave fronts. experiment ?
Which of the above statement/s are true ?
(A) (a) only
(A) All the statements from (1) to (4) are true
(B) (a) and (b) only
(B) Only the statement (2) is true (C) (b) and (c) only
(C) Only the statements (1) and (2) are true (D) (c) only

(D) None of the above 46. A beam of particles is incident from the negative x
direction on a potential energy step at x = 0. When
44. X rays of wavelength 0.24 nm are Compton-scattered
x < 0, the potential energy of the particles is zero and
and the scattered beam is observed at an angle of 60o
for x > 0 the potential energy has the constant positive
relative to the incident beam. The energy of the
value U0. In the region x < 0, the particles have a
scattered X-ray photons is :
kinetic energy K that is smaller than U0. What is the
(A) 5.14 keV form of the wave function in the region x > 0 ?

(B) 514 eV (A) Aekx + Be–kx

(B) Aeikx + Be–ikx

(C) 5141 keV
4
(C) Aeikx
(D) 5.1 × 10 keV
(D) Ae–ikx

SS-5466–A 10

47. The list of excited states to which the 4p state can 50. A certain insulator has an energy gap of 6.0 eV.
make downward transitions are : A visible light in the wavelength range 400 to 700 nm
falls on this material. Now choose the correct
(A) 4p  3s , 4p  4s , 4p  2s , 4p  1s
statement :
(B) 4p  3s , 4p  2s , 4p  1s , 4p  3d
(A) The material will strongly absorb the visible light
(C) 4p  3s , 4p  4s , 4p  2s , 4p  4d
(B) The material will not absorb the visible light
(D) 4p  3s , 4p  2s , 4p  1s , 4p  2d

48. For a molecule, there are three different types of excited (C) The material shines when the light falls on it
states : electronic, vibrational and rotational. Put these
(D) The material will strongly absorb the infrared light
in increasing order according to the amount of energy
generally required for each type of excitation : 51. At the lowest temperatures, the molar heat capacity
(A) Vibrational, electronic, rotational of metals can be explained primarily by the application
of :
(B) Vibrational, rotational, electronic
(A) The equipartition theorem
(C) Electronic, vibrational, rotational

(D) Rotational, vibrational, electronic (B) Fermi-Dirac statistics of electrons

49. The ratio of Fermi energy of a metal at temperature T, (C) Bose-Einstein statistics of vibrating atoms
f(T), to its Fermi energy at absolute zero, f(0), is
approximately equal to : (D) Maxwell-Boltzmann statistics

(A) 1 52. The temperature at which the lattice and electronic

heat capacities of copper become equal to each
2
(B) kT other (Take Debye temperature, TD = 343 K and
12
Fermi energy = 7.03 eV) :
 2  kT 
(C) 1 12   (0)  (A) 300 K
  f 
(B) 273 K
2
 2  kT  
(D) 1  12   (0)   (C) 4.2 K
  f  
(D) 3.2 K

SS-5466–A 11 [Turn over


53. Which of the following statement is not correct 55. In a p-n junction at room temperature, the ratio
regarding the Nuclear Fusion ? between the current with a forward bias of 2 V to the
current with a forward bias of 1V is (approximately) :
(A) Nuclei produced in the reaction are usually highly
radioactive (A) 1.7 × 1019

(B) Energy release can be as large as several MeV (B) 1.7 × 1017
per reacting nucleon
(C) 2.1 × 1015
(C) It is usually necessary to overcome a Coulomb
barrier for the reaction to occur (D) 2.1 × 1019

(D) Reacting nuclei come from commonly available 56. Choose the incorrect statement :
chemical elements
(A) The small-signal hybrid-pi model applies to
54. In the decays and reactions of elementary particles, transistors operating in the forward-active mode
which of the following conservation laws is not in linear amplifier circuits
followed strictly ?
(B) The cut-off frequency of a transistor is the
(A) In any process, the lepton numbers for frequency at which the magnitude of the
electron-type leptons, muon-type leptons and common-emitter current gain becomes equal
tau-type leptons must each remain constant to 100

(B) In any process, the total baryon number must (C) The frequency response of a transistor amplifier
remain constant
is a function of the emitter–base junction

(C) In processes governed by the strong or capacitance charging time

electromagnetic interactions, the total strangeness

(D) When a transistor is biased in the forward-active
must remain constant
mode of operation, the current at one terminal
(D) In processes governed by the weak interaction, of the transistor (collector current) is controlled
the strangeness must remain constant by the voltage applied across the other two
terminals of the transistor (base–emitter voltage)

SS-5466–A 12

57. A typical transistor with  = 100, has a base-to- 59. A certain common emitter amplifier has a voltage gain
collector leakage current, ICBO, of 5µA. If the transistor of 100. If the emitter bypass capacitor is removed :
is connected for common-emitter operation then the
(A) The circuit will become unstable
collector current for IB = 40 µA :

(B) The voltage gain will decrease

(A) 4.5 mA

(C) The voltage gain will increase

(B) 5.4 mA

(D) The Q-point will shift.

(C) 1.5 mA

60. A Voltage-divider bias :

(D) 4.5 µA

(A) Cannot be independent of dc

58. The bandwidth of an amplifier is determined by :

(B) Is not widely used

(A) The mid range gain

(C) Requires fewer components than all the other

(B) The critical frequencies
methods
(C) The input capacitance
(D) Can be essentially independent of dc
(D) The roll-off rate

SS-5466–A 13 [Turn over


 ROUGH WORK

SS-5466–A 14

 ROUGH WORK

SS-5466–A 15 [Turn over

163

 r. No. 083

TNTR.AhICE TE,ST!2G28
SCHOOL OF PHYSICAL & MATHEMATICAL SCIENCES
PHYSICS
Question tsooklet series g
Total Questions : 6C
TimeAllarved : 7A Minutes I{ol[ No. :

trnstructions for Candidates :

1 . Write your Enkance Test Roll Number in the space provided at the top of this page of Question Booklet
and filI up the necessary inforrnation in the spaces provided on the CMR Answer Sheet.

2. OMR Answer Sheet has an Original Copy and a Candidate's Copy glued beneath it at the top. Whiie
making entries inthe Originat Copy, candidate should ensure thatthe two copies are {igq9{ properly so
thatthe entries made inthe Original Copy against each item are exactly copied inthe Candidate's Copy.
3. A11 entries in the OklRAnswer Sheet, including answers to questicns, are to be recorded in the Originai
Copyonly.
4. Choose the correct I most apprepriate response for each questiorr among the options A, B, C and D and
darkenthe circle ofthe appropriate response ccmpletely. The ineornplete darkened circle is not correctly
read by the OMR Scannei and no complaint to this effeet shail be entertained.

5. Use only bXue/biack ball point pen to darken the circle c,f eorrect/most appropriate response. In no case
gellink pen or peneii should be used.
6. Do not darken more than one circle of options for any question. d question with more than one darkened
response shall be considered w?ong.
n V. There will be 'Negative Markiug' for wrcng answ€rs. Each wrong ans\&'er =;rill lead to the deduetion
- of 0.25 marks from the totai score of the canciidate.
8. Oniy&ose candidates who would obtain positive seore in Entrance Test Examination shall be eligible
for admission.
9. Do notmake any straymark onthe OMR sheet.
10" Calcularors and mobiles shall not be pennitted inside the examination hall.

11. Rough work, if any, should be done on the ble""rk sheets provided with the question booklet.

12. OMRAnswer Sheet must be handied carefully and it sirould not be fclded or mutiiated in whieh case it
will not be evaluated.
13. Ensure that your OMR Answer Sheet has been signed by the tnvigilator and the candidate himseifl
herself.

14. At the end of the examination, hand over the OMRAnswer Sheet to the invigilator who will first tear off
the original OMR sheet in presenee ofthe Candidate and hand over the Candidate's Copy to the candidate.

JJ-310-C 1 [Turn over

ace
1. A box contains 6 balls that could be either red 5. In an interference pattern, the wavelength and
or biue. How many different microstates satisfu frequency are :

the macrostate of exactly 3 of the balls being (A) greater in regions of constructive interference
red ? than in regions of destructive interference

(A) 3 (B) unchanged in regions of destructive

interference but greater in regions of
@)6 constructive interferenee
(c) t2 (C) the same in both the regions of constructive
interference and the regions of destructive
@) 20
interference
2. An electron is moving with a speed of 0.6 C. The (D) unchanged in regions of destructive
phase velocity of its de Broglie waves is : interference but smaller in regions of
constructive interference
(A) 0.7r c
In the Michelson interferometer experiment, if one
(B) 0.82 c
of the mirrors is moved by a distance of 0.06 mm,
(c) 0.e4 c 240 fringes cross the field ofview. The correqponding
wavelength is :
(D) 1.67 c
(A) 1440 A
a
For a dynamical system ofN particles, the phase-
J.
G) 5000 A
space is :
(c) 14400 A
(A) 3N - dimensional consisting of positions of @) 5mm
the N particles
7. If n is a natural number and ), is the wavelength of
@) 4N -
dimensional eonsisting of positions of light, then the radius of the nth half period zone is
the N particles and time proportional to :
(C) 6N - dimensional
consisting of positions (A) n21.
and momenta of the N particles (B) r/1"
(D) Infinite dimensional as it is a Hilbert space (c) Un

4. If the two input waveforms of equal frequency (D) Jnr

and amplitude with 90 degree phase difference 8. In an interference pattern formed by two coherent
is applied to the CRO, then the Lissajous patterns sources, the intensities of the individual wave
obtained will be : are 9I and 4I. The maximurn and minimum
intensities are respectively :
(A) A straight line
(A) 3I and 2I
(B) A circle
(B) l3I and 5I
(C) An ellipse
(C) 49i and 16I
(D) A hypeibola (D) 25I and I

JJ-310-C 2
irr
9. Which of the following quantities cannot be 13. The de Broglie wavelength of a 100 eV electron
calculated frorn the Hall effect experiment ? is 10-10 A. Tfre wavelenglh for a 0.40 keV electron
(A) Mobility of charge carriers rvill be :
(B) Number density of charge carriers (A) 2xr0-eA
(C) Type of the semiconductor 18) 5x10rA
(D) Energy band gap of the sen:rcolJ.uctor (C) 2x1g-tt6
(D) 5x10-"4
10. A Fraunhofer diffraction pattern is produced on
a screen located 2 m from a single s1it. If a light
( *')
source of rvavelength 200 nm is used and the 14.
V(x) : *, is an eigen function of the
distance from the center of the central bright [-J
fringe to the first dark fringe is 1 mm, rvhat is
the slit width ? operator A =+
ox-
- Xt , the corresponding eigen
(A) 4 cnr value is :

(B) 4 mrn (A) 1t4

(C) 0.4 mm (B) -1t2
(D) 0.04 mm (c) -2
(D) -1
11. If plane-polarized light is sent through trvo
polarizers, the first polarizer at 45n 1o the original 15. The ground state of the harmonic oscillator
plane of polarization and the second polarizer is described by the wavefunction
at 90o to the original plane of polarization, r.vhat
fraction of the original polarized intensity gets
v(x) = .r, A ^(.
f-*.l,
2)' w,here A is the
through the last polarizer ?
(A) 0 normalization constant.'l'he expectation values

0r) aJ25 (x) and (r, ) i, this state are respectively :

(c) 4.25 (A) 0, 0

(D) 0.s0 (B) N2,0
(c) 0, N2
t2. Energy of thc second excited state (n:3) of H
atom is -1.51 eV. The energ)' of the t-rrst escited (D) N2, Al4
statc ot the I-I atom is then :
16. Stern-Gerlach experiment gives experinrental
(A) -3"4 eV verification of :
(B) -13,6.cV , (A) Quantization of energy of atom
(C) -4.s3 eV (B) Orbital motion of electron
(C) Electron spin
(D) -5"04 eV
(D) Sommerfeld nt.rdei of aton-t

JJ-310-C [lirr, over'

.:.
 17 . Anelement of atomic number Z decays radioactively 20. According to the Einstein and Debye theories of
speciflie hear of solid-s. at higl: temperatures the
to an element of atomic number (Z-l). This can
specifi; heai in tems of the universai gas constant
happen on the emission of : R'is:
(A) An alpha particle ,*)
.',
(A) C, = 3R and *K- respectlvely
(B) An alpha particle and a beta particle J

(C) A beta particle (B) C,- : 2R2 *,ra ]n respectively

J
(D) A neutron and abeta particle
(C) C. : 3R in both cases
18. When you write the primitive transiational vectors
(D) C, cc R and Rr respectively
of the reciprocal lattice in terms of the primitive 21. The band gap of an insulator that absorbs
transiational vectors of the direet lattice, you electromagnetic radiation of all waveiengths
b,elov,,-1000 A is (h: 6.625 x l0raJs) :
see a comrnon denominator a.($ r e) in ali the
primitive translational vectors of the reciproeal
(Ai 6.9 ev
(Bi 19.8 eV
.

latticc. What is a.(U * e) r

{C} 9.6 ev
(A) This is the reciprocai of the direct translation
il]) 4. t e1+'
vectors
If there are p aticms in the prirnitive eell, the phonon
(B) This is the volume of the primitive urir22' dispersion relation
ldl! have :
cell in the direct lattice (Ai opticalphc::r:n -tp branehes
(D) fo-3) opiicai phonon branehes
(D) Th9 translational vector that governs the (C] 3(p*i.i *ptical phonon branches
transformation from direct lattice to (tr) 2p aeoustieal phoncn i:ranches
.i

reciproeal lattiee 23.. i-n a pn jur:eiion, u,hen a positive voltage is applied

io tire p iegion ivith respect tc the n region, the
t9. The interplanar spacing for a {321) plane ii a Fermi level in the p region is now :

simple eubic lattice whose lattice constant is a (Ai iowei than that iri the n region and the total
is: potential barrier is redused

(A) atJs i
(B) lcwer ihan rhet in tlie n region and the total
pot*nliai ban'ier is increased
(B) oalJr+ (C) higher than that in the n region and the total
potential barrier is reduced
(c) al&a
(Di higlier ihan that in th* n region and the total
(D) at2J6 potential ban"ier is inereased

JJ-310-C 4
aaa
 24. In an n-channel JFET, after the pinch-ofl the drain 29. Heavy nuclei have more protons than neutrons.
current:
This is because :
(A) decreases linearly with tle increase in drain
voltage (A) Neutrons are slightly heavier than protons.
(B) increases exponentially with the increase Heaviness makes the atom more stable
in drain voltage
(C) (B) Neutrons, being electrically neutral, lead
decreases exponentially with the increase
in drain voltage to lower energy values compared to protons
(D) is independent of drain voltage making the atom more stable

25. An amplifier in which the operating point is

(C) Neutons, being slightly heavier,lead to higher
chosen in such a way so that the output current energy values compared to protons making
(or voltage) is zero for more than half of an the atom more stable
input sinusoidal signal is called :
(A) Class A amplifier i
(D). If we have more protons than neutrons the
(B) Class B amplifier atom will be positively eharged. Neutrons
(C) Class AB amplifier have no such issue
(D) Class C amplffier
30. At which of the points (A, B, C or D) on the
26. The drain current of an n-channel JFET having following graph will tno iateracting sp€eies
pinch off voltag" Vo : -3V, Drain-Source experience the greatest forse of attraetion ?

saturation current Io* = 9 mA, and Gate-Source

Voltage Vo, : -1 V is :
(A) 2 mA
(B) 4 mA
(C) t2 mA
(D) 18 mA Fo
fi
, 27. According to
Quark model, a neutron is composed Separatio:r lretlveen
of (d is down and u is up) : species
(A) uuu
(B) ddd
(C) ddu
(D) uud
28. A photon incident upon a hydrogen atom ejects
an electron with a kinetic energy of 10.7 eV. If
the ejeited electron was in the first excited state (A) At point A
(n:2), calculate the energy of the photon.
(B) At point B
(A) 6.30 eV
(B) 14.10 eV (C) At point C
(C) 24.30 eV (D) At point D
(D) 6.30 MeV
JJ-3l(rc 5 [Turn over
tl 3 1. A spaceship at rest relative to an observer has the
shape of an equilateral triangle.
It passes the
34. A system consists of three balls
at differer
locations near the origin, as shown
in the figurr
observer (still at rest) at relativistic Ball I has a mass of 2.0 kg and is located
speed in a
o
direction parallel to its base. The the x-axis at x, : _2.0 m;ball2has
will
observer an unknow;

ii
now see the spacecraft,s shape take the mass and is located at (x, = 1_4.0
form ffi, yz: *3.(
of: m) ; ball 3 is somewhere on the y_axis
at ar
unknown location, and it has a
(A) an equilateral triangle with lesse r area
mass of 1.0 kg
The coordinates of the center_of-mass
of thir
(B) an isosceles triangle system are (x", : 0, ycu : *2.0
m). The squares
(C) on the grid measure 1.0 m x 1.0
an equilateral triangle with greater m. What is the
area mass of ball 2 ?
(D) a scalene triangle
v

32. Which ofthe statements about the four

fi.rndamental
forces is incorrect ?

(A) Both the electromagnetic and gravitational

ball2
forces have a 1/r2 dependence, but ce of
the lll, iC
gravitational force is much weaker
(B) The strong interaction is responsible ball I
for
nuclear force
(A) 1kg
(C) The weak interaction is responsible @) 2ke
for
beta decay (c) 4ks
(D)
(D) 8ke
The strong interaction is short ranse
and
the weak interaction is long range 35. A corytlurt nel-torque is applied
to an object. Which
one of the following wili not
be const-int Z
33. Spaceship A is moving to the right (A) Angularacceleration
at a speed of
0.60c with respect to Earth. A second (B) Angular velocity
spaceship,
B, moves to the left-at the same speed (C) Moment of inertia
with (D) Center of gravity
respect to Earth. What is the
speed of A with .

respecttoB? ,
If j:
36. the orbital
period of a ptaner and a is the
(A) 0.74c
rengtn ot the semimajor axis of its elliptical
orbit, then according io Kepler,s
third law of
planetary motion :
(B) 0.88c '
(A) 13 oc az
(C) 0.e4c (B) T .c a2
(D) t.2c (C) T2 cc 4:
(D) T2cca
 37. In fre bdow figure, a slit 0.3 mm
wide is illumimed 39. What is &e natrre ofthe below tristed
two forces ?
by lieht ofwavelength 426 nm.A
difizction panem
is seen on a screen 2.g mfrom
the slit. What is the
O {=r(r'i-y,*) ana

linear distance on the screen between (ii) 4=r(*rt *vrv)

first two
the
diffiaction minima (the length shown
by a question (A) { is conservative, Fl is not
mark) on either side of the central
diffraction (B) { is not conservarive, is
maximum ? {
(C) Both are conservative

(D) None is conservatiye :" .

$. Foi a scalar f*nction $ satisfting the Laplace

L,,.ft,
equation, V$ has :

(A) Zero curl and non_zero divergence

(B) Non-zero curl and zero divergence

(A) (C) Zera curl and zero clivergence

795 cm
(D) Non-zero curi and non_zero divergence
@) 795 mm
(C) 79.5 mm 41. An infinitely long thin cylindrieal sheli
has its
(D) 7.95 mm axis coinciding wi& the z_axis. It caries
a surfb"ce
charge density G cos where
38' A solid cylinder of mass M and radius R rols $, $ is the polar
angle and o is a constant. The magnitude
of the
, down an incline without slipping. Its
moment of electris field inside the cylinder is :
inertia about an axis through its center of
rnass o'
is MR2/2. At any instant while in motion, (A) 2eo
its
rotational kinetic energy about its center
of mass
is what fraction of its total kinetic energy o
? (B) ;-
a-
"-0
(A) U2
o
(B) U3 (C) 4.,
(c) U4
o
(D) 1t8 (D)
8.n

JJ-310-c
7
aaa [Turn over
 42. The modulu of the flux through a sphere of radius 45. Below certain
sufficienfly low tennperahres, which
r that has a charge -q at its centre is ofilre fo[owing maerlals er*riUit p"*i* afr-*g,.f*,
$. Radius of Z
the sphere is increased to 3r and the charge _ (A) Nano materials
to
2q,,the flux becomes
(B) Superconductors
:
(C) Semi conductors
(D) Liquid crystals
(A)
*
46. Read the following statements :,

(B) O
The gradient operation tums a scalar field
+ into a vector field
CO ft9 operation turns a vector field into a
(c) scalar "*l
field
+ i A vector field with zero divergence is said to
(D) 2o be solenoidal
Gv) A vector field with zero curl is said to be
43. A fully charged parallel-plate capacitor inotational
remains
connected to a battery while a dielectric Now identify uihich ofthe statement/s is incorrect
is slid :
between the plates. Fresh measurement
of the (A) (i) and (ii)
quantities Capacitance (C), Charge (e) (B) (r)and(iii)
and
Electric field (E) between the plates is made. (C) (ii) and (iv)
It
is found that :
(D) (ii)only
(A) C increases, Q increases and E remains
the same 47. The current in a coil drops from 4 A to 2
A in
i r._f $e average emf induced in the coil is
(B) C increases, Q decreases and E remains 6 mY what is the self-inductance of
the coil ?
the same
(A) I mH
(C) C decreases, e remains the same and E (B) 6 mH
increases
(C) 9 mH
(D) C increases, e remains the same and E (D) 18 mH
increases
48. Wtrich of the foilowing statements
44. A current of l0A is flowing through a circuler correctly describes
the orientation of eleitic field
conductor of 2.5 m radius. Th. *ugretic @), magnetic field
(B) and the velocity of propag"ti""lVi
intensity at the centre of this circurar
field
elechom4gneticwave? - \
"i
*
conductor is
(lro: 4n r lOrTm/A) (A) E is perpendicular to B and parallel to V
(A) 8n x l0rT (B) E is parallel to B and perpendicular to V
(B) 2n x 10-77 (C) E is parallel to both B and V
(C) 2n x l1aT (D) Each of the three vectors (E,B,V) is
(D) 2n x 10{T perpendicular to the other two

JJ-31(rc
8
aaa
49. The Ampere's law w-ritten as the equation 52. The specific heat at constant pressure C. is defined
V x B = poJ has a serious limitation particularly for in terms of enthalpy H as :
non-steady currents. Maxwell fixed it by adding to
the right hand side of this equarion the term : (A) ^aH
ao =
aT
AE
(A) tro €oI
(B) Ce =0H
AV

@) l"o €oI
AB
a2H
(C) Ce =_
(C) po eo V.J dr2

r2r r
@) rD) C-, = d'T * 6H
po eo V.E ^'

dT, AV
50. The electric field compohent cf a plane
electromagnetic rvave travelling in vacuum is 53. Which of the foliowing Maxwell's (themrodl.namic)
relations is correct ?
given by E = Eocos(kz - rilt)i. The Poynting
Vector for the u,ave is : 6s
\jr/ -ldTi.
/n\
I avl
(A) 6Pi.
eo cEiccs= (kz - rr)t
(B) ^ ea__ C .-'
t; cos-'/,(Kz - i', a\/ |
t_i aHl
2 crt/ j \Lj)
/U\
eN lp 6P ii
Iro

(C) ;;to cos'(kz - ot)i r'r\\

t\-/
av I aHi
- uu l.c il i,,= --_loP l,
-_i

I
(D) ,,,, -.?
t;cos'(kz - ot)[ avi
flr) ar l, = -aPi,
asi

51. In thermodynamics, the value of any

54." A diatornic ideal gas is compressed adiabaticaiiy
thermodynamic quantity can be predicted by -
knowing the four fundamental thermody'namic tc ll32 *f its initial value. If the initial
variables. These are :
temperature of the gas is T, then its final
(A) Temperature, Pressure. Entropy and Specific
Heat temperature is :

(B) Temperaturc, Pressure, Volume and Nurnber (A) 32r

of particles
tC) Entropy, Specific Heat, Volume arrd Number (B) 16r
of particles
(D) Pressure, Volume, Entfopy and. Fugacity
(c) 8r
(D) 4r

JJ-310-C 9 [Turn over

aaa
 55. The entropy of a three-coin systern for the case in 58. Below is given a statement of assertion (X) and a

which two (of the three) coins are heads up is (k

corresponding statement of reason (!.
Read these
and then choose ths correct option.
is the Boltzmann constaht).
Assertion (X) : The ratio of the specific heats
(CplC,) for a diatonric gas is more than that for
(A) k ln2
a monoatcimic gas"

@) k ln3 Reason (Y) ; The molecules of a diatornic gas

have more degrees of freedom than those of a
(c) k2 1n2
rrto:lrratoltlic cas.

(D) 2kln2 (A) X is correct, Y is wrong and contradicts X

(8.) X is rirong, Y is correct but contradicts X
56. A temperature change ean occur in a gas as a r C t Borh X and Y are correet and support each
result ofa sudden pressrire change over a pressure other

regulator or valve. This rvas an important (D) Both X and Y are incorrect and contradict
each other
observ'ation in thermodynamics and is known as
59' F-errni-Dirac statistics applies to cf
the : systems
identlcal pa$icles that are :
(Al Seebeck effect (A) Drstinguishableo havs half odd integral spin
and nbey the er.ciusion princil le
G) Rarnan effect
(B) indistinguishable. have half odd integral
(C) Joule-Thomson etTect spin and cbey the exclusion prineiple
(C) Distinguislrable, have integral spin and cio
(il) Peitier effect
not obey ihe exclusion principle

57 . The rnean free path cf molecules of a gas at pressure

(D) Indistinguishable, have integral spin :nd
do not obey the exclusion principle
P and temperature T is X cm. If the pressure t,
UO. In a metal the Fermi energy describes :
doubled and the temperature is halved, the mean
(A) The mean thermal energy of the atoms at
free path would be :
temperature T
(A) 2X cm (B) The minimum energy necessary to remove
an electron &om the metal
(B) 4X cm
(C) The highest i:ccupied energy state of a free
(C) XlZ cm e]ectron at zer* temperature
(t)) The energy necessary to break the bonds
(D) XJ4 cm between the metai atoms

JJ-310-c 10
aac

I
 t. A uniform rod oflength I and mass M is at rest on a 5. If a planet were suddenly stopped in its orbit,
horizontal fr ictionless table,An impulse of magnitude supposed circular, itwould fall into the sunin atime :
I is applied to one end ofthe rod and perspendicular
to it. The velocity ofthe centei ofmass is :
I
(A) ; ofits period
I
(A) M (B) 2, ofits period
2l
(B) v t;
.E --
{L) oIlls DenoO
I
'-' 2M ,-. 1J
t;
(Ul ", Pefloq
oI|ls
,IT l-
\", ::M
m\ 6. A palticle desciibes an ellipse under a force to the
2. Suppose the coeffrcient of friction between a focus S. When the particle is at one extremity ofthe
horizontal surface and a moving body is F. With what minor axis, its Kinetic energ/ is doubled, without any
speed must the body be projected parallel to the
change in its direction of motion. The particle
surface to travel a distanae D before stopping ?
ploceeds to desaribe
(a) v = Jzorrg
:

(A) Panbola
@) '=fiorle @) Hlperbola
(c) v= JDps
(C) Ellipse
(D) Ctcl€
(l)
H 3.
v = JDpr
A body ofcharge q stads from rcst and acquiles a
7. Two masses m and M are corutected by
lenglh /w
a rod of
h negligible mass, Ifdre syslem is rotating
velocity v = 0.5 c. The new charge ofthe body is :
with an angular velocity w along an axis passing
(A)re q
0rough the centre ofmass and perpendicular to the
rod. The angular momenhrm ofthe system $ :

(B) q l - (0.s1 mM
(c) q .,[-(os' '--' m+M
mM
(D) q
4. Ifthe Galilean tansformation were conec! then the
'-' m-M
abberation angle would be given by :
(A) v = ctano
(C) m+M wr'
-
(B) v = ccos0
(C) v= csine (D) m-M
.M * ,

(D) All ofabove

rrFo-20635-A
o
8. A small sphere ofradius R in its proper fiame is ll. A positive charge Q is brought near an isolated metal
moving with halfvelocity oflight When phologmphed cube :

by an observer in a laboratory liame it looks like : (A) The cube becomes negatively charged
(A) Ellipsoid (B) The cube becom€s positively charged
@) Ahyperboloid (C) The interior becomes positively charged and
(C) Sphere the surfaca becomes negatively charged
@) Aparaboloid @) The interior remains charge fee and the surface
9. The frequency ofoscilations ofa particle ofmass m gets non udform charge dishibution
which is free to move along a line and is attached to t2. A sphere ofradius 2m is kept in space such that its
a spdng whose other end is fixed at a point at a center is on y axis at (0,a). A charye of I C is kept at
distance / fromthe line. The fiequency ofoscilations, (I, 0). In utrich ofthe following cases, the flux through
where F is force : the sphere is not zero ?
rF (A) a=2m
(A) .,/
ym(" (B) a=-2m
f; (C) a= lm
'"' ! F7
13.
(D) a =-3Il1
Ifwe seal a pipe with two metal end caps around a
m
(c) ,/- point charge Q, the eleciric field outside the pipe
tm willbe:
f- (A) Identicalto the field ofan isolated poin! cnarge
(D) 2.i:
tnzY
@) Identically zero, because metal shields charge
10. Two identical charges +Q are kept fixed some (C) Non-zero but dependent on where the charge
distance apart. Asmall panicle pwith charge q is is within [re pipe
placed midway between them. Ifp is given a small (D) Non-zero but indepcndent ofwhere the charge
displacement A. ir will undergo simple harmonic is within the pipe
motion if : t4. Ifmagnetic field 6=V"A,A being the vecror
(A) q is positive and the given displacement is along potential, then for constant magnetic field we have :

the linejoining the charges

-l-,
(B) q is positive and the given displacement is
(A) A=-(B./A)
2
perpendicular to the line joining the charges -l
(c)
(B) A=:(irBJ
q is negaive and the given displacement is along /
the linejoining the charges (c) A = (Exi)
(D) None ofthe above (D) 0

IIFO-20635-A
[Turn over
 t). Ifan electric dipole is rotating with
about its center 18. Four very long straight wires carry equal electric
a uniform angular velocity in the anticlockwise currents inthe+z direction. They intersect the xy
direction in a uniform magnetic field which is in the plane at (x, y) = (-a, 0), (0, a), (a, 0) and (0, -a).
direction ofthe angular velocity : The magnetic force exefted on the wire at position
(-€,0) is along
(A) Net magnetic forces as well as torque on the
:

dipoleiszero
(A) +y
(B) -y
@) Net magnetic forces as w€ll as torque on the (c) x
dipole is non zero (D) _X
(C) Net magnetic lorce is zero but the net torque 19. Two long shaight thin wires ca.rrying steady cunents
on the dipole is non-zero pass ne.!r each other at right angles to each other.
(D) Net magnetic force on the dipole is not zero AS llme passes :

but the net torque on the dipole is zero (A) They will morie away tom each other, parallel
to their original positions
16. An electric current runs counterclockwse ln a
rectangular loop amrmd the outside edge ofthis page,
@) They will move towards each other parallel to
their original positions
which lies flat on your table. A uniform field is then
(C) They rvill rotate about the line ofthe shortest
tumed on, directed parallel to the page ftom top to
distance between them and tend to be parallel
bottom, The magnetic force on the page will catse :

i
to each other
(A) The left edge to lift up (D) They will rotate about the line ofthe shortest
(B) The right edge to lift up distance between them ard tend to be anrF
parallel to each other
(C)
ilI (D)
The top edge to

The bottom edge to

lift up
lift up
20. The time averaged energ/ in an elechomagnetc \aave
is:
17. The rclation between electric field and magnetic field (A) Overwhelminglyelectdcal
amplitudes ofan electomagnetic wave travelling in @) Slighdy more electrical than magnetic
a medium ofpermeability p and electric susceptibiliry (C) Equally divided between elect cal and
xl ragnetlc
(D) Overwhelrninglymagnaic
B
(A) E=
.,ffi 2t. The correct relation between the pressure and Kinetic
energr per unit volume ofthe gas is :

(B) B= E
(o) r=;u
ffi;il
B (u) t=3o
(c) E=
.ffi (c) P=+E
?R
\u) E = -i---=--:-====-
(l + x.)
ror u=]o

rrFo-20635-A 4
o
 -
22. Which ofthe followiog relations is corect where y 26. For a thermodynamic system, Helmholtz fiee enerry
. Specific heat ratios, fisthe number ofdegrees of is a fimction of :
fieedom ?
(A) T=l+f (A) S, V
@) r=1-r (B) V,T
f (c) r,P
(c) T- I + t
(D) S, P
2 e tropy. Av the change in
(D) T: I + 27. lf AS is the change in
i volume ofthetwo pha.ss, then Clausius-Clapel. on
23. The relationbetween Boyle's temperature and critical
lempEranre ls I eguation is :

() 2rB=
R
/A) dP AS
21r" "" dT -Av
-=
/n\ dPI
)7
(s) r"=;1 '-' -=-
dT as^v
dP
(c) r" =tl
1
t" dT -AS
Av

(D) lr"
5 dP AV
=
Bl .' , dT TAS

I For diatomic itleal gas near room tempemtue, the

a
faction ofthe heat zupplied Q is available for extemal
' work W if the gas is expanded at constant
28. Th€ relative number of gas moldcules travelling
distanc€ s widnutcollisions is (l is mean fiee patlt) :

lemperature :
. N -er
w^
(A) =u
(A)
\='
o N.,
w G) ;=e'
@) e '' N -
/a\
.', -=s '*'
(g tt No
e
N ,,^
w (D) =.- \
@) a='
29. Five particles are distributed in two phase cells. The
25. The percQntage oflighter gases like hy&ogen and
number ofmaqostates are :
helium is very high in the atmosphere ofthe earth.
This can be explained on thb basis of:
(A) l0
(A) Kinetic theory of matter (B) 6
@) Tempemtue gradient ofthe atmospher€ (c) 5t2
(C) Brownian motion ofthe gas molecules (D) 32
(D) Conceptofequipartitionenergy

1110-20635-A t [Turn ol,

30. The classical Statistics is r aJ id ifthc avemge separation 34. 1wo periodic wavcs ofamplitudcsA, andA, pass
between the pafiicles is rnuch greater than the mean
through a rcgior. IfA, > A' the dilibrencc in the
de-Broglie wavelength ofthc padcles. Then which
maximum and minimum resullant amplitude possible
of the following is not correct to satisfy this
condition ? is:
(A) Temperature is largc (A) 2A,

@) Gasisdilute @) 2A,
(C) Mass ofpa.ticles is not too snrall (c) A, +A,
(D) Numbcr dcnsity is very la4c @) A, -A,,
31 Ifthe volumc ofblack bodyradiation is incrcascd 35 A sonometerwire oflength I vibrates in fundarnental
quasistatically and adiabaticaily by a factor of8, then mode u,hcn excited by a tuning fork offtequency
thc wavelength ofthc highest intensity )",,, will shift 4I 6Hz. Ifthe length is doubled. keeping othcr things
10: sarne, tire string \.vill ;

l_ (A) vibiatc with a frequcncy of 4 l6 FIz

(A) tr,.
@) vibrate with a frcquency of208 I Iz
G) 2l- (C) vibrate with a lrcquency of832 Hz

(:c) 2{2}\ (D) stop vibrating

i6 A standing wave is produced on a string clamped at
(D) 8\,,
one end and frcc at the olhq: l'he lenglh ofthe stiing :
32 The microstate ofa system at any time is given by
spccifying the :
(A) musrbc an inte{ral m ultiole o1 l)
(A) Maximum possible informatioi aboul thc 4
system moleculcs at difGrent tin1c )..
(B) (B) must bc an integral nrultiple of
Minimun possiblc infomation about fte slslem ;
molecules at same time
(C) must bc an integral nlulriple of i,
(C) Minimum pssible information about the system
molecuies at differcnt tines
(D) may be an integr al multiple of
(lJ) Maximum possibie information about thc 1
system molecules at samc timc 37. Monochromatic light ofwarelength 600 nm is uscd
33 Consider 1wo waves passing through the same slring. in a Young's double slit experimenl Onc ofthc slits
Principle of supcrposition lor displaconent sa]s that
is covercd by a transparcnt shcet ol thickncss
thc net displacemcnt ofa particlc on the string is the
sum ol1he displacemellts produccd by the two waves 1.8 x l0 5 m madc up ofmatcrial ofrcliactive index
individually. Suppose we state the similiar Principle 1.6. The numbor oI fringes rhat shift due to
fbr the net \clocity and the nct Kinetic energy ofthe
inlroduction o fshcct is :
panicle. Such aPrinciple will be valid for :
(A) (A) 6
both the velocity and the Kinetic encrgy
(B) the velociq, but not for the Kinetic energy
(B) 12

(C) the Kinetic energy but not the velocity (c) 18

(D) neither the velocity nor the Kinetic cnergy (D) 20

ll Fo-20635-A
o
 in 41' In Compton effect the chalge in wavelength
oflight
3-8. Two coherent point souces Sr and S, vibrating
depends on:
' . Dhase emit light ofwavelength
?' The separation
tetween the sources is 2l
Consider a line passing (A) TaIEel malerial
' though S,S' The
S, and perpendicular to the line
@) Initial raavelength oflight
small-est ,iislarrce from S, where a minimum
of
(C) Scaftcnng angle
intensity occurs :

),"
@) None ofthe above
(n) D 42. The electron irl a ground state lrydrogen atom
is in
circumfcrcnca equal to :
'7),
(A) One do-Btoglie wavetength
@)12
(B) 'two de-Btlglie wavelength
(c) L (C) 10 de-Broglic wavelergth
t (D) Twelve and halfde-Brcglie wavelength
,\ t he lowest energl possible for a particlc in a one
(D) 7 dimensional poteotial box is 2eV The next highest
39. At the first minimurn adjacent to the central maximun energy ofthe Pallicle can have :
ofa siogle slit dif&action pattem the phase diflbrcnce (A) 4 eV
betrveen the lluygens wavelet ftom the top ofthe
slit andthe wavelet from the midpoint ofthe slit is
I @) 8eV
(C) l6 ev
1l
(A) t radians (D) 32 eV
44' At what value ofKinetic energy isthe de-Bfoglie
(B)
7( _. wavelength of an clectrol equal to Compton
ractans
; wavelength ?

tC) f, radians
(A) ("6+l)m,c'
(D) r radians l.
(B)
40. Lirht i; reilecting offa wedge shaped thin lriecc ol' \t2
glass producing bright and dark fringes l f a ccnain
(c) fioc'
iocation has a briglrt ftinge, a nearby point will have
dark ftinge ifthe thickness ofthe glass increases by (i2 -l)moc'
:
(D)

(A) i
1

ofa wavelength ofthe light in gla'ss 45' Normal Zeeman eftlct i

(A) ls observed with atoms having odd number of
electlons
(B) -. ofa wavelength ofthe light in glass
(B) is obsewed with only atoms with even number
ofelectrons
(c) ;I
ofa wavelength oftlre light in glass (C) conlinns the theory of space qta'rtization
'aalion
(D) I wavelength oflight in glass (D) disproves the theory ot space quantu

1 [Turn over
HFO-20635_A.
o
 Ifthe orbital angular momentum ofanelectron is 5l. Ifthere are two atoms in the primitive basis then in

:
the phonon d ispersion willhave:
J20n.ItsorbitalNmberquantumnumbermustbe
(A) one acoustic and two optical branches
(A) 4
(B) one acoustic and one optical branches
@)r (C) two acoustic and two optical branches
(c) 20
(D) 20
@) ttree acoustic and tlree optical branches
52. Braggs angles for the first and second order
Decay of p-meson supports the concept of :
reflections by acrystalare rcspectivelyer and 0r.
(A) R€lativity ofmass
(B) Relativity ofenerry -I hen Jsin0, ls
sin0,
(C) Tmedilation
(A) I
(D) lrngth contraction
(B) 2
48. A fiee neuhon decays into a proton with the emlsslon
(c) 0.5
ofan elechon and a third padicle to conserve angular
(D) 0.2s
momentum. The thild particle is :
53. Dimrsion curent in a pn-j unction is greater than the
(A) Neutino drift cunent in magniitde :
@) Gamma-ray (A)
ifthejunction is forward biased
(C) Anti-Neutrino (B)
ifthejunction is reverse biased
@) Neuton (C)
ifthejunction is mbiased
The energr ofa photon ofsodium light (1, = 589 nm) @)
inno case
equals the band gap ofsemiconductingmaterial. The 54. Inatansistor I

1- minimum enerry requirud to crcate electron-hole pair

is approximately :

(A) lMeV
(A)
(B)

(C)
the emitterhas least concentration
the collector has the least concentration
impwity
the base has the least concentration
ofimpurity
of

ofimpurity
(B) lev (D) all the thrce rcgiotrs have equal concentration
(c) 2 eV ofimpurily
(D) 2MeV 55. A semiconducting device is connecled in a sedes

50. A crystallographic plane has intercept I along a, 2 circuitwith a battery and a r€sistance. A current is
will found to pass through the circuit.Ifdre pola tyof
along b, 3 along c. A panallel plane to this plane
the battery is reversed, the cunentdrcps to almost
have Miller indices :
zero. The device may be :
(A) (632)
(A) an inhinsic semiconductor
(B) (246) (B) a p-type semiconductor
(c) (123) (C) an n-qpe semiconductor
(D) (321) (D) ap-njunction

HFO-20635-A 8
o
 56. In a semiconductor : 59. FET is adevice which has:
(A) there are only fiee elecEons at 0K
(A) low input impedance and is crrr€nt controlled
(B) electlo", *, ,",n*-*"
there arc no fiee
' "i
(6.1 there number offtee electrons incrcases with @) low input impedance and is voltage controlled
temperatue (C) highinputimpedanceandiscurentcontrolled
@) noneoftheabove
I 57. The positive gate operation of an n-channel O) high input impedance and isvoltage controlled

I as:
VOSfnt is known 60. The transistors are :

(A) Depletionmode (A) low voltage and low current devices

(B) Enhancementmode
(c) Normal (B) high voltage and high curent devices

(D) NeitherDepletionnorEnhancernentmode (c) lowvoltage andhigh cunent devices

53 MoSFET is also known as: (D) only low current devices
(A) Uni-Junctiontansistor
@) Complementary metal-oxide-serniconductor
(C) Insulated gate field€ffect fansistors
(D) Bipolarjunctiontransistor

IrFO-20635-A 9
o
 Sr. No. .......s.1.$.i........

E,NTRANCE TE,ST:20I7
SCHOOL OF PHYSICAL AND MATHEMATICAL SCIENCES
PHYSICS
Question Booktet Series E
:
Total Questions 60
TimeAllowed : 70 Minutes Roll No. :

Instructions for Candidates :

1. Write your Roll Number in the space provided at the top ofthis page of Question Booklet and fill up the
necessary information inthe spaces provided on the OMRAnswer Sheet.

2. OMRAnswer Sheet has an Original Copy and a Candidate's Copy glued beneath it at the top. While making
entries in the Original Copy, candidate should ensure that the two copies are aligned properly so that the
entries made in the Original Copy against each item are exactly copied in the Candidate's Copy-

3. All entries inthe OMRAnswer Sheet, including answers to questions, are to be recorded in the Original Copy
onlY.

4. Choose the correct / most appropriate response for each question among the options A, B, C and D and
darken the circle of the appropriate response completely. The incomplete darkened circle is not correctly
read by the OMR Scanner and no complaint to this effect shall be entertained J
5. Use only blue/black ball point pen to darken the circle of correct/most appropriate response. In no case
gel/ink pen or pencil should be used. IJJ
n 6. Do not darken more than one circle of options for any question. A question with more than one darkened
response shall be considered wrong.
a
7 . There will be 'Negative Marking' for wrong answers. Each wrong answer will lead to the deduction of
0.25 marks from the total score of the candidate.

8. Only those candidates who would obtain positive score in Entrance Test Examination shall be eligible fbr
admission.

9. Do not make any stray mark on the OMR sheet.

10. Calculators and mobiles shall not be permitted inside the examination hall.

11 . Rough work, if any, should be done on the blank sheets provided with the question booklet.

1 2 . OMR Answer sheet must be handled carefully and it should not be folded or mutilated in which case it will not
be evaluated.

13. Ensure that your OMRAnswer Sheet has been signed by the Invigilator and the candidate himself/herself.

14. At the end ofthe examination, hand over the OMRAnswer Sheet to the invigilator who will first tear offthe
original OMR sheet in presence of the Candidate and hand over the Candidate's Copy to the candidate.

DAJ-11118-A xl x [Turn over

 Two under-damped oscillators are known to have the
In how much time will the plane of oscillation of
4.
l.
same natural frequency roo. The mass and damping
Focault pendulum turn through 90o at 30o latitude?
coefficient of the first oscillator are mt and &, ' and
(A) 3 hrs the mass and damping coefficient of the second
oscillator are m2 and t., respectively' A sinusoidal
(B)
driving force of F"*, : Focos cot is applied to each
6 hrs

(C) t hrs oscillator. Starting with co far frorn rrro the driving force

is tuned in order to observe resonant behavior'

(D) 12 hrs
If m, : 4m, and b, = 2br then rvhich one of the
A radioactive nucleus of mass M moving along the following statements concerning the resonant
positive x-direction with speed v emits an o-particle amplitude of the driven oscillations is correct?

of mass m. lf the cr-partlcle proceeds along the positive (A) The resonant peak of the first driven oscillator

y-direction, the centre of mass of the system (made is higher and narrower than that of the second
oscillator.
of the daughter nucleus and the o-particle) rvill
(B) The resonant peak of the first driven oscillator
(A) move along the positive x-direction with speed
is higher and wider than that of the second
equal to v
oscillator.

(B) move along the positive x-direction rvith speed (C) The resonant peak of the first driven oscillator
less than v is lorver and u'ider than that of the secotld
oscillator.
(C) move along the positive x-direction rvith speed
(D) The resonant peak of the first driven oscillator
greater than v
is lower and narrower than that of the second
(D) move in a direction inclined to the positive x- oscillator.
direction 5. The Coriolis effect is strongest at this latitude:

3. A person is standing at the edge of a disc of radius R' (A) 90 degrees

The disc is rotating about its own axis with uniform (B) 45 degrees
angular velocity ro. The person throws a stone in (C) 30 degrees

radially outward direction with speed '-R "1u1i'" 1o (D) 15 degrees

6. Which of the follolving relations between Force F'and

the disc. Acceleration of stone as seen iy tf''" person
potential energy V is correct:
soon after throwing (neglecting gravity) is:
(A) P: * grad V
(A) J7''R
(B) F:-divV
(B) ".Er'R (C) F=-'curlV
(c) .6r'R (D) F:-divV2
(D) 2 a2R

DAJ-11118-A
x2x
 by (5i + 6j)
largest 11' An object has the dimensions represented
1. Which of the following configurutiont has the System S' is
metres in the system S on the ground'
angular momentum for a given R and P :

moving with velocity 0.6 C w'r't' ground along the

a

E
p
S'are
direction of X. The dimensions in the system
1. ot" (i andj are unit vectors)
/
(A) (4i+6j)
2Fi
or"\
(B) (6 i ++i)

(c) (4i+ej)
p
3. <-A (D) (s i+ 4 j)
l" 12. Which of the following is/are conservative
vector

I fieldis ?

p
(i) F(x,y):(2xcosy-ycosx)i+(-f siny- sinx)j
4 fR (i1) F(x, y) : (ye. + sin y)i * (e* * x cos y)j
(A) 1
(A) Both (i) and (ii)
(B) 2
(B) (i) but not (ii)
(c) 3
(C) (ii) but not (i)
(D) 4 (D) neither (i) nor (ii)
8. The moment of inertia of a body depends on
:
13. Which of the following statements is false?
(A) the angular velocitY
If the electric field is zero in some region of
(A)
(B) the angular acceleration be zero
space, the electric potential must also
(C) the mass distribution
in that region.
(D) the torque acting on the bodY
nr. lJi (B) The electric lines of force are always
Two particles are moving with speeds cl2 ailc
is: perpendicular to the equipotential surfaces'
at 45o to each other. Their relative velocity
(C) If the electric potential is zero in some region
(A) ctJ-3 in
of space, the electric field must also be zero
(B) ctJ-z that region.
(C) cl2 of
(D) Lines of electric fietd point towards region
(D) cl3
lower Potential.
10. The predictions of Special Relativity appear to us to
along
be counterintuitive because: 14. Two thin parallel wires are carrying currents
one due
(A) they only apply to the behaviour of microscopic the same direction. The force experienceJ by

Paft icles, like electrons to the other is

(B) they apply only to inanimate objects like clocks (A) Parallelto the lines and attractive
and rods, and not to human beings
(B) Perpendicular to the lines and attractive
(C) they are only noticeable at speeds much higher
than we normallY exPerience (C) Perpendicular to the lines and repulsive

(D) predictions of special relativity are complex (D) Parallel to the lines and repulsive
while the world is real
x3 x [Turn over
DAJ-11118-A
15. The permeability of a material is A.6421 (tt:0.6aZl). 20. The units of Poynting vector S : (E x B)/po are:
It implies that the material is (Take Vo: 4x x 10-7) :
(A) ,/S 2m 2

(A) Paramagnetic (B) .,/Sm 2

(B) Diamagnetic (C) -/Sm-r

(C) Ferromagnetic (D) ../S rm 2

(D) Anti-feromagnetic 21. A diatomic of freedom.

gas molecule has 6 degrees
16. Line integral ofB around a path enclosing a longwire For these 6 degrees of freedom, the following break-
carrying current 20mA is (take po: 47rxl0-7)' up is correct
(A) 8.48 x lOi Wbm-2 (A) The center of mass motion of the entire
(B) 5.72 x lOa Wbm-2 molecule accounts for one degree trf freedom.

(C) The molecule has tuo rotalional decrees cf

2.51 x 10-8 Wbm-2
motion and three vibrational modes.
(D) 7.76x10{Wbm-2
t1
(B) f'he center of mass motion of the entrre
The statement equ ivalent to
J
e.O I = po I is:
molecule accounts for one degree of freedr r.
(A) V.B: pol The molecule has three rotational degrees of
(B) VxB:poE motion and two vibrational rnodes.
(C) VxB:poJ (C) The center of mass motion of the entire
(D) V.B: o
molecule accounts for 3 degrees of freedorn.
The molecule has two rotational degrees of
18. Which of the following statements is fi.lse?
motion and one vibrational mode.
(A) In an electromagnetic field, the electric and
(D) The center of mass motion of the entire
magnetic field energy densities are equal
molecule accounts for 3 degrees of freedom.
(B) In an electromagnetic wave, the electric and The molecule has three rotational degrees of
magnetic field vectors E and B are equal in motion and tr.vo vibrational modes.
magnitude
22. A real gas obeying van der Waal's equation will
(C) In an electromagnetic wave, electric and resemble idealgas if:
magnetic fields are in phase (A) bcth 'a' and 'b' are large
(D) Electromagnetic waves are transversal (B) both 'a' and 'b' are small
19. The reflection and transmission coefficients of a plane (C) 'a' is small and 'b' is large
electromagnetic wave incident normally from air on a (D) 'a' is large and 'b' is small
dielectric surface of refractive index 1,4 are X. The entropy of a four coin s-ystem, if all the four coins
respectively (Take refractive index of air: l): are heads up, is
(A) 0.0812 and0.9l88 (A) 0
(B) 0.8 120 and 0.1 880 (B) r.s J/K
(C) 0.9925 and 0.0075 (c) 3.7 JtK
(D) 0.0278 and0.9722 (D) e.2 JIK

DAJ-I1118_A x4 x
 28. For a system oftwo particles, each of spin s, the ratio
24. The ratio of the specific heats y (=ColCr) for
of the number of symmetrical to the number of anti-
monoatomic, diatomic and triatomic gases is
symmetrical sPin states is
respectively:
s2 +1
(A) 0.75, 1 ,5,2.25 (A)

(B) 1.33. l l0. 1.66

s+1
(c) 1.66.i-+0.1.33 (B) ;
(D) 2.25. i.5, 0.75

25. The Joule-Thomson (J-T) effect is a thermodynamic

(c) ; 1

process that occurs when S

(D) t.
(A) a fluid expands from low temperature to high I

temperature at constant pressure. 29. Read the following statements:

(B) a fluid expands from high pressure to lorv i. The second law ofthermodynamics implies that

pressure at constant enthalPY. all natural processes lead to an increase in

entroPY.
(C) a fluid expands from low temperature to high
temPerature at constant volume.
ii. The third law of thermodynamics implies that a
body cannot be brought to absolute zero
iD) a fluid contracts from low temperature to high
temperature by a finite sequence of events'
temperature at constant pressure'
iii. The first law ofthermodynamics is a statement
t5 At u'hat temperature rvill the average molecular kinetic ofthe conservation of energY'

energ] in gaseous hvdrogen equal the binding energy Now identiff the correct set of statements:
- .- ; :li
tr..{en at..tlt ] (A) i and ii
(A) 161300 K (B) ii and iii
(C) i and iii
(B) 16430 K (D) All are correct
(c) 26300 K 30. Which of the following statements is not true about
(D) 10s200 K Bose Einstein statistics ?

27. A box contains l0 balls that could be either red or

(A) It describes identical, distinguishable particles
obeying Pauli exclusion principle'
blue. How many different microstates satisfy the
macrostate of exactly 3 of the balls being red?
(B) The wave functions of particles obeying Bose
Einstein statistics are symmetric to interchange
(A) 7
of particles.
(B) 30 (C) Some examples ofparticles obeyingthe statistics

(c) 82 are Photons in acavity, Phonons in a solid'

(D) In this statistics, there is no limit to the number
(D) t20
of particles Per state.

DAJ-11118'A x5 x [Tirrn over

31. According to the fundamental assumption of Statistical 34. The motion of a particle described by
x: Asin(wt) + Bcos(wt) is :
Mechanics, which of the following states of an atom
with three degrees of freedom and three quanta of
(A) not simple hatmonic
energy is most probable?
(B) Sirnple harmonic with arnplitudeA+B
(A) One degree of freedom with 3 quanta of energy
(C) Simple harmonic with amplitude (A+B)/2
and two degrees of freedom with 0 quanta of (D) Simple harmonic with amplitua../n: #
energy each.
35. In Fabry-Perot interferometeq maximum transmission
(B) One degree of freedom with 2 quanta of energy,
offreedomwith 1 quantum ofenerry,
one degree
occurs when path length difference is equal to
and one degree of freedom with 0 quanta of (neglecting absorPtion) :

energy. (A) n7"

(C) Three degrees of freedom with I quantum of (B) (n + l)).
energy each.
ni
(D) None of the above, because all microstates are (c) 2
equally probable.
(2n + 1)).
32. The net work done in the thermodynamic cycle (D) ,
ABCA shown in the figure below is:
36. When the movable mirror of a Michelson
6
A interferometer is shifted through 0.0589 mm, a shift
5 of 200 fringes is obtained. The rvavelength of light
used is (take cos0*: 1):
n4
d B (A) 589 nm
\
oJ (B) 420 nm

Ha
L
(C) 520 nm
(D) 638 nrn
1
31. Radius of first zone in a plate of principal focal length

0; 20cm for light of wavelenEh 5000 A is:

'o 0.5v(m') 1.0 1.5
(A) 0.916 mm
(A) rr0kJ (B) 0.291mm
(B) 1100 kJ (C) 0.316 mm
(c) I 1000 kJ
(D) 0.496 mm
(D) 1100 J
38. In Fraunhofer diffraction pattern of a double slit, there
33. Light waves from two coherent sources having
diffraction
are eleven bright fringes rvithin the central
intensities I and 2l cross each other at a point with a
peak. If each slit is 0.020 cm wide, then the separation
phase difference of 30o. The resultant intensity at that
point is: between them is:

(A) e.4st. (A) 0.134 cm

(B) s.4st. (B) 0.214 cm
(c) 4.34t. (C) 0.019 cm
(D) 6.4st. (D) 0.324 cm

DAJ-11118-A x6x
 on
the 42' Compton, in the analysis of his experiment
39. Read the following statements regarding
Scattering of X raY Photons, used
polarization bY reflection :

(i) Percentage ofthe polarized light in the

reflected (A) De Broglie relation

beam is greater at the angle ofpolarization' (B) Principle of conservation of energy

(iD Reflected light is circularly polarized

in the plane (C) Einstein's concept oIPhoton

of incidence. (D) Principle of conservation of momentum

angle of
(iii) The degree of polarization varies with
the
$. In order to explain the spectral energy density
that
olincidence. blackbody radiation, Planck had to assume
the plane blackbody was
(iv) Reflected light is plane polarized in (A) the number of photons inside the

perpendicular to the incident plane conserved

limited
Now identify the correct set of statements: (B) the oscillators in the cavity walls were

(A) (i) and (ii) to quantized energies

rB r iii) (C) the oscillators in the cavity walls obeyed

tiil and
Maxwell-Boltzmann statistics
(C) (iii) and (iv)

(D) (i)and(iii) (D) the classical particles are indistinguishable

of an electron from
ground state 44' Photon P in Figure (below) moves
-+0. The total energy ofan electron in the
3' The electron
electron's kinetic energy level n: 1 to energy level n =
the Hydrogen atom is -13 '6 eV' The
jumps down to 1r = 2, emitting photon Q' and then
g11s11r i:
jumps down to n : 1, emitting photon R' The spacing
\ .:5 c\'
What is the
between energy levels is drawn to scale'
tBt l-.1 e\- correct relationship among the wavelengths
of the
(C) 6.8 eV photons ?

n:3
(D) 54.4 eV Energy

41 . Optically active substances are those substances

which:

(A) Produce polarized light.

(B) Rotate the plane of polarization of polarized

light. 7,P<}"a<)"R
(A)
Produce double refraction' >i"a <)"R
(B) )"P

6oru"rta plane polarized light into circularly <ia >)"R

(c) ),P
polarized light.
(D) l"P>)"a>)"R

x7 x [Turn over
DAJ-11118-A
 45. V(x) : exp (-x212)is an eigen function ofthe operator 49. If the stable isotope of sodium is 23Na, what kind

A: +- x'. The corresponding of radioactivity would you expect from

eigen value is
Ax' (i) 22Na and

(A) -x (ii) 2aNa ?

(B) 3
(A) 22Na can undergo
an inverse B decay while
(c) -u4 2aNa can undergo
a B decay
(D) -1
46 The expectation value of the momentum of a free (B) 22Na can undergo
a B decay while 2aNa can
particle <p> described by the wave function undergo an cr decay
(kx-ot)
V(x, t) - 4"i moving in a one dimensional space (C) 22Na can undergo an o decay while 2aNa can
of zero potential from x : --{o to x : * oo is
undergo a B decay
(A) 0
(D) Both can decay by cr and B emission
(B) hW2n
(C) ho,2n so' The reaction n -+ p + n- is not an allowed reaction as:

(D) @ (A) it violates baryon number conservation

n1
The anomalous Zeeman effect can be explained if (B) strangeness is violated
we take into account
(C) it violates energy-momentum conservation
(A) the electron spin

(B) (D) it does not violate anv conservation lau and is

the electron orbital angular momentum
an allowed reaction
(C) the electron linear momentum as well as orbital
angularmomentum 51. Which of the following is NOT a characteristic of a

(D) electron mass, speed and magnetic moment neuffino?

{,
48. The absorption or emission spectra of a diatomic (A) It generally is produced in beta-decay.
molecule consists of:
(B) It is a massless particle, or at least nearly so.
(i) Pure rotational transitions for different
(C) It interacts readily with other parlicles.
vibrational level in the visible region
(iD Vibrational-rotational tiansitions within the same (D) It is the second most abundant particle in the

electronic state in the infrared region un iverse.

(iii) Electronic transitions in the visible and UV 52. The particles that are all fennions and are unaffected
region by the strong interaction are:
Now choose the correct set of statements :
(A) Gravitons
(A) (i) and (ii)
(B) Hadrons
(B) (ii) and (iii)
(C) (i) and (iii)
(C) Mesons

(D) all are correct (D) Leptons

DAJ-11118-A x8 x
 53. 'Considering the packing
factor, among the cubic 58. For a JFET, when VDS is increased beyond the pinch
crystals the most closely packed structure is:
off voltage, the drain current
(A) Simple Cubic
(A) Increasesexponenlially
(B) Base centered Cubic
(B) Decreasesexponentially
(C) Body centered cubic
(C) Remains constant
(D) Face centered cubic
(D) Decreases linearly
54. The Miller inclices of a plane having intercepts
59. The Hybrid parameters h,, (input impedance with
4a,2b,3c on the a, b, c axes respectively are
output shorted), hr, (cument gain with output shorted),
(A) (324)
h,, (voltage feedback ratio with input terminals open)
(B) Q42) for the circuit shown below are, respectively
(c) (364)
(D) (423) AAn^ - Aa
5,i . The fbrm olthe potential in the Kronig_penney
rnodel 40 I 4Q
is 40
(A) periodic square wave
(B) simple Coulomb potential

(C)
(D)
screened Coulomb potential

Yukawa potential
(A) 10 {>, 4, _ 4
n
(B) 8Q,2,*2
56. The probability that an electron in a metal occupies
the Fermi-level. at any temperatLrre (> 0 K)

(A) 0
is
(c)
(D)
4

6
{>,- 4,2
A,_ 0,5, 0.5
fi
(B) o.2s 60 MOSFET can be used as

(c) 0.s (A) Voltage controlled capacitor

(D) i
(B) Current controlled capacitor

51. Hall effect is observed in a specimen when it (metal

(C) Voltage controlled inductor
or
a serniconductor) is carrying current and
(D) Curent controlled inductor
is placed in a
ma-qnetic field. The resultant electric field inside
the
specimen u ill be in a direction:

(A) normal to current and parallel to magnetic field

(B) normalto magnetic field but parallel to current
(C) parallel to both current and magnetic field

(D) normal to both current and magnetic field

DAJ-11r18-A x9 x
2014
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Physics/Il
l. 110J of heatis addedto a gaseoussystemwhoseinternalenergyis 4C.Ithen the
amountofextemal work doneis :
(A) 1s0J - (R) 70.r
(c) 1r0J o) 40.r

2. receivedon eanhq'ill be
Ifthe temperatureofthe sunis doubledthe rateof energ-v
increased
bya tactorof:
(A) 2 (B) I,I

(c) 8 , f ! i
t t t t i6

3. Ifone gramof steamis mixcd'with onegramof icethenresutrtant

ten.lpcrahrre
of the
nllxil,tre ls :
(A) 100"c (il) /i{}'c
(c) 270"c (D) 50"c

!J

4. An idealgasat 27" C is compressed

adiabaticallyto *- of its originalvolr.unethc

is(takev :
risein temperature '
JI
(A) 27sK (Rt 47sK
(c) 37sK (D) t7s K
'l-hc
5. tleat is fiowingthroughtwo cylindricalrodsof-thr:sanrematc-riai. diamctcrsof
therodsarein theratio I :2 mdthe lengthsin theratio 2 : I if the tempdiflbrence
betweenthe endsis same,thentheratio of therateol'the flow of heatthroughthem
willbe:
(A) 2:1 (R) 8: I
(C) l:l (D) 1 :8

'fhe
6. A mass'm' is suspended from thc two coupledspringsconnected
in series.
forceconstantlor springsare4 and4. Thetime periodofthe suspendedmasswill
be:

( A ) ' = t^" l xf - .^| - (B) Y[$2

Kr+K.,

(c)r=2,8h 1p) T =2x

m ( K r +K r )
K, K,

czB-29322-8
 7' The compositionoftwo simpleharmonicmotionsofequal periodat right
angleto
eachotherandwith a phasediflerenceofn resultsin thedisplacement
ofthe particle
along:
(A) circle (B) figweof8
(C) suaightline (D) ellipse

8' Theangularvelocityand theamplituteofa simplependulumis coand'a'respectively.

'x'
At a displacement Irom themeanpositionif its kineticenergyis 'T' anclpotential
energyis 'V' thentheratioof T'to V is :

(a2 - x2r,t2) ,2 cu'

(A) ie)
d @:Vlj
_ *r)
(c) y( o , (D)
x2
t7-:;l

9. Iwo vibrating tuning fcrrksproducewaves givcn by y, : 4sin(500nt)

and
!r:2sin(506nr), wheret is in seconds.
Numberof beatsproducecl
permin is :
(A) 360 G) l8o
(c) 60 (D) 3

I 0. Thetime of reverberation
of a roomA is I s.Whatwill be thetime (in scconds)of
reverberationofaroom, havingall thedimensionsdoubleofthoseofroomA ?
(A)l (B) 2
(c) 4 rD) v2

11. A transverse
wave propagationalongX-axis is represented
byy(x, /) : g.0sin

(0.5rc - 4x, - x is in metersandt is in seconds.The speedof the wave

Xlwhere
is:
(A) Smst (B) 4nmsl

(C) 0.5 nms-' (D1 ,

]ms
+

czB-29322-B [Turn over

12. Which oneofthe following statements
is true?
(A) Both light andsoundwavescantravelin vacuum
(B) Both light andsoundwavesin air aretransverse
(C) Thesoundwavesin air arelongitudinalwhile thelightwavesaretransverse
(D) Both light andsoundwavesin air arelongitrrdinal

13. An electroqsbeamhaskinetioenergyequalto 100eV.Findwavelengthassociated

with thebeam.if massof electron: 9.1 x l0 r' ftg:
(A) 24.6A (R) o.t2 A
(c) 1.2A (r)) 6.3A

14. Thekineticenergy- in tircpotcntialdil hrcnceof

of anelectron,rvhichis acceleratecl
l00Vis:
(A) 416.6cal (Rt 6.636c:al
(C) 1 . 6 A 2x 1 0 t 7. I (D) 1 . 6x 1 0 4. /

15. Themomentumol'aphotonofenergyI McV in kg m,js*,ill be :

(A) 5 x 1022 (U) 0 . 3 3x 1 06
(C) 7 x I0 24 (D) l0 22

16. A beamof electronpasses throughmutuallypcrpcndicular

undeflected electricand
magneticfields.If'theeicctricfield is switchcdoff, andthesamemagneticfield is
maintained,theelectronsrlove :
(A) In a circularorbit
(R) Along aparabolicpath
(C) Alongastraightline
(D) Inanellipticalorbit

17. Monochromaticlight of frequency6.0 x 1014 IIz is providedby a laser.Thc porver

emittedon theaverageis 2 x 10 I try'.
Thenumberofphotonsemitted,on the average.
by the sourceper secondis :
(A) 5xlOrn (B) 5xl0r7
(c) 5xl0r'1 (D) 5x10r5

czB-29322-8
 18. The ionizationenergyof hydrogenatomis 13.6ev. Follou,ingBohr,stheory,,
the
energycorrespondingto a transitionbetween3rd and4th orbit is :
(A) 3.40eV (B) 1.51eV
(C) 0.85eV (D) 0.66eV

-fhe
19. energyequivalentofone atomicmassunit is :
(A) 1.6 x l0'e -/ (B) 6.02 x 1023
J
(C) 931meV (D) 9.31MeV

20. Thernassoftheaparticleis
:
(A) Lessthanihe sumofthe massesoftwo protonsandtwo ncutrons
(B) Iiqual to massof fourprotons
(C) Equalto massof four neutrons
(D) Equalto sumof the massesof two protonsandtwo neutrons

21. The massdensityofa nucleusvarieswith massnumberA as:

(A) A2 @) A
(C) Constant (D) UA

22. Specialtheoryofrelativity statesthat :

(A) Massremainsunaflectedin anyinertialframe
@) Velocityoflight remainsunaffectedin anyinertialframe
(C) Momentumconservationis not valid at high specd
(D) Time remainssamein all inertial lrames

23. At whatvelocitymusta particlemove sothat its kineticenergyis equalto its rest

energy?

(A)+ rJ)
t;
rllg
2
2c z,Fzc
(c) r
lu)
VJ 3

czB-29322-B [Turn over

5
24. A particleandits antiparticleareannihilatedin a nuclearreaction.The amountof
energyreleased
is :
l ,
(A) Zero (B)
t*r-
(C) mcz (D) 2mc?

25. Whena givenamountof wateris heatedfrom 0nC to 100"C, its mass:

(A) Remainsunchanged (B) Decreases slightly
(C) lncreases
slightly (D) Increases
substantially

26. Which ofthe follor,vingparticleparametersremainsunchangedevenat relativistic

speecls
?
(A) charge (B) inilss
(C) lineardimensions (D) chargeto massratio

27. Ifa p-njunctionis reversebiased,thenresistancc

measured
by ohm-meter,
will bc :
(A) infinite (B) h'sh
(C) low (D) zero

'fhe '/
28. truthtablegivenhereis validfbr wirichofthe fiillorvinggates
Y I Output
0 1 0 1 0
i l 0 t 1
0 lr l l
l l l l l
(A) NAND (B) oR
(c) AND (D) NOr

'fhe
29. symbolrepresents:

(A) NOR gate (B) OR gatc

(C) AND gate (D) NAND gate

czB-29322-8
 30. Depletionlaverconsists
of :
(A) electrons (B) protons
(c) mobilechargecarriers (D) immobileions

3 I . The expansionof galaxiesis supportedby :

(A) neutronstars (B) white dwarf
(C) redshift (D) blueshift

32' In high energyphysics,theworlds largestexperimentalfacility

LHC standsfor :
(A) Largeheavycollision^s
(R) l,argehyper-parriclecollider
(C) l.argehadrcrncollidcr
(D) Largehydrogencollider

33. which ofthe followingaresuitabrefor thefusionprocess?

(A) lightnuclei
(B) hearynuclei
(C) elementslyingin themiddleofthe periodic.rable
(D) highlyunsrablenuclei

34' Thevolumeoccupiedby anatomis greaterthenthe

volumeofthenuclcusbyafactorol.:
(A) l0r (B) t05
(C) l0ro 1.p) l0r5

35' Dueto earthsmagneticfield, the chargedcosmicrayparticres:

(A) canneverreachthe pole
(B) canneverreachthe equator
(c) requiregreaterkineticenergyto rcachtheequatorthanthepolc
(D) requirelesskinetic energyto reachthe equatorthanthepole

36. Centerof massof systemof particlesdoesnot dependon :

(A) Positionofparticles
(B) relativedistancebetweentheparticles
(C) massesofthe particles
@) forcesactingontheparticles

czB-29322-8
[Turn over
37. Momentof inertiaof a uniformcirculardiscabouta diameteris I. Its momentof inertia
aboutanaxisperpendicularto its planeandpassingthrougha point on its rim r','illbe :
(A) sr (B) 6r
(c) 4r (D) 3I

38. Two bodiesof massesm and4m aremovingwith equalkineticenergy.Thc ratioof

theirlinearmomenta
is :
(A) t:2 (B) 2: I
(C) | :4 A) 4:1

'fhe
39. partol'transistorwhich is heavilydoppedto prodncelargenumbcrof majority
carriersis :
(A) emitter
(R) base
(C) collector
(D) anyoneo{'thesedependinguponthenatureoithc transistor

40. Whenarsenicis addedto animpurityto silicon,theresultingmatcrialis :

(A) n-typeconductor
(B) n-typesemiconductor
(C) p{ypesemiconductor
(D) p-typeconductor

motionof anobjectunderthc gravitational

41. In considering influcnceof anothcrobject,
which of thefollowing quantitiesis not conserved?
'lbtal
(A) Angularmomentum (B) energy
(C) Linearmomenturn @) Mass ofthe object

42. A particleis projectedwith kineticenergyK at anangleof 60 with thehorizontal,the

kinetic energyat top of its trajectoryis :
(A) I</4 (B) K/2
(c) K (D) 2K

czB-29322-ts
43. Infinite numberof bodieseachofmass6 kg, aresituatedat distancesI m,2m, 4 m,
8 m, '....respectivelyfrom theorigin.Theresultantgravitationalfield intensityat the
ongrnK:
( A) 4 G @) 3c
(c) 8c (D) Infinrty

44. If a satelliJeis suddenlystoppedin its orbit andalloweclto fall freelyto earth.the

speedwi thwhich it hits theearthis :
(A) ^tsR @) ^ftsR
(c) .FsR (D) ?"tsR

45 ' Two sourcesofintensity I and4I areusedin theinterferenceexperiment.The intensity

at a point wherethe wavesfrom the two sourcessuperimposewith a phasedifference

of ; is:
z

(A) 0 (B) 2r
(c) 3r @) sr

46. The penetrationof light into theregionof geometricalshadowis called:

(A) Polanzation (B) Intedbrence
(C) Diffaction (D) Dispersion

47. A particlemovesin a straightline with retardationproporlionalto clisplacement.

Its
'x'
Iossofkineticenergyforanydisplacement is proportionalto :
(A) x2 (R) e'
(c) .r (D) log"x

48. A bombof massI 6 kg at restexplodesinto two piecesof mass4 kg and I 2 kg. The
velocityof l2 kg massis 4 ms-t. Thekineticenerg,v
of theothermassis :
(A) e6J s) r44J
(c) 288J (D) re2J

czB-29322-B 9 [Turn over

49. Moment of inertiaof a rod of massM,length/ aboutan axis perpendicularto it

I
througha point from one endis :
;

Ml2
(A) (B)
t2 **,'
a
1 ^
(c) -Mt' (D) *r,'
.1r)

50. Two identicalmetalballswith charges+2Q and-Q ares,.iii:]ratecl

by sorncdistancc,
andexerta force 'F'on
eachother.Theyarejoined by a conductingu'ire,which is
thenremoved.The forcebetureenthemwill now be :
t
-,- - i
(A) (R)
r 2
F F '
(C) ;+ (l))
8

5 I . Which of thefollowing elerctromagpctic

radiationshavethc longeslwavclength?
(A) X-rays 0l) y-rays
(C) Microwaves (D) ttadiowaves

52. In whichofthe following,emissionof electronsdoesnottakeplace?

(A) Jhermionicemission (U) X-raysemission
(C) Photoelectriceftbct ([)) Secondary
emission

53. The frequencyof electromagnetic wave,bestsuitedto observea particlcof radius

3 x l 0 a c m i s o f t h e o r d e r o: f
(A) l0rs G) 1014
(C) l0r3 11l) l0r2

54. The structureof solidsis inrestigatedby using:

(A) Cosmicrays (B) X-rays
(C) y-rays (D) Infra-redradiations

czB-29322-B t0
55. A signalemittedby an antennafrom a certainpoint canbereceivedat anotherpoint
ofthe surfaceinthe form of :
(A) SkyWave (B) GroundWave
(C) SeaWave (D) Both (A) and (B)

56. Thevelocityofelectromagneticw-aveis parallelto :

(A) BxE (B) ExB
(c)E (D) B

57. Accordingto kinetic theoryof gases.at absolutezeroof temperature:

(A) *ater fieezes (B) liquidheliumfreezes
(c) molecularmotionstops liquid hydroqenfreezes
@)

58. Relationbetweenpressure(p) andenergy(E) of a gasis :

2 l
(A) o-1u @) ,=;u
(c) P=E (I)) P=3Ii

59. Thenumberoltransitionaldegrecs
offreedom
foradiatomic
gasis :
(A)2 (B) 3
(c) 5 rn) 6

60. An idealgasA anda real gasB havetheir volumesincreasecl

fiom V to 2V under
isothermalconditions.The incrc-ase
in intemalenergy:
(A) willbesameinbothAandB
@) wili be zeroin both thegases
(C) ofBwillbemorethanthatofA
@) ofAwillbemorethanthatofB

czB-29322-8 [Turn over

l1
M.Sc Physics 2011
Physics - 2010