We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF or read online on Scribd
You are on page 1/ 13
PAPER - IT
PHYSICAL SCIENCES
Note: Attempt all the questions. Each question carries two (2) marks.
If AxB=absin@ then Bx A is
1) -absing 2) absind
3) abeosd 4) ~abeosd
If g and y are harmonic functions, then from Gi
>
yd fue 2» 0
Ion
a
3) jot 4) oy
1 on
a -1 0
‘The rank of matrix | 0 a ~1] is 2 for a equal to
-1 0 a
y 3 a1
a 2 y 4
‘The normalization of Hermite polynomial ZZ,(x) yields,
DQ aa!nt
2» 4n
3) 2"a nt
4)
a M2002 5. Laplace transform of (1-e')/t is:
2
a (4) 4)
6. The expansion of f(z) = in the region |2| <1
a
(2-1(2-2)
3)
4)
If Cauchy-Riemann condition are satisfied then,
1) Partial derivatives are continuous
2) Partial derivatives are zero
3) Partial derivatives are discontinuous
4) Partial derivatives are not possible
8. The measure of spread of an arbitrary probability distribution from its mean value
{X) is given by,
x-(X)\sko)s Y,
YQ Pi\x-(X)|skos Yi
2) Pilx?-(X)|zko< Vy
k
3) (X*)|ha)< VY,
1) Pi|x-{X)|> ho) < Vie
M2002 4 E 10.
11.
12.
If there exist holonomic constraints, expressed in k equation in the form
Aste
y
2
3)
4)
Othen the system is said to have
3N-K degrees of freedom
3N degrees of freedom
K degrees of freedom
3N-f degrees of freedom
The conservation of linear momentum in the absence of applied force requires the
validity of
1) Weak law of action and reaction
2) — Strong law of action and reaction
3) Law of inertia
4) Newton's second law
Which one of the following is true f
)
2
3)
4)
In neutron-proton scattering for which m, =m, the scattering angle in the laboratory
system is equal to
y
2
3)
4)
twice the scattering angle in centre of mass system,
thrice the scattering angle in centre of mass system
the seattering angle in centre of mass system
half the scattering angle in centre of mass system
5 M2002 18. Atwood’s machine is an example of
»
2)
3)
4)
Conservative system with non- holonomic and scleronomic constraint
Non-Conservative system with holonomic and scleronomic constraint
Conservative system with holonomie and seleronomie constraint
Conservative system with holonomic and Rheonomic constraint
14. The path followed by a particle in sliding from one point to another in the absence of
friction in the shortest time is a
»
Py
3)
4)
Sphere
Sigmoid
Cyeloid
Catenary of revolution
15. A massless spring having force constant k has masses m, and m, attached at its two
ends. The frequency of oscillation is
1)
2)
3)
4)
op — [ka mg)
myn
[le(m, = m,)
Ym,
o=
[Lum
Yk, ~ 1m)
[my
o
VRGm, + m,)
16. When only one single frequency is involved in the solution of equations of motion then
the coordinate appearing in it will be called
y
2)
3)
4)
M2002
Normal coordinate
Generalized coordinate
Single coordinate
Normal coordinate of system 17. According to the Gauss’s theorem the electrostatic field & at a point r due to a point,
charge q is defined as
»v
3)
4)
18, Ifa long straight conductor carries a current of 2 per unit length, then the electric
field at a distance r from the centre of the conductor is
A
y
> Baar
2
» 4
° are,
4)
19. If current in a conductor increases, then according to Lenz's law self-induced voltage
will
1) __ aid the increasing current
2) tend to decrease the amount of current
3) produce the current opposite to the increasing current
4) aid the applied voltage
E 7 M2002 20. The force between two straight parallel wires carrying currents J, and J, is
between the wires)
proportional to (where r is the distay
y
2) Lay
7
g ib
(tol
® te J
21.
22, When EM wave is incident on a dielectric, it is
1) fully transmitted
2) fully reflected
3) partially reflected and partially transmitted
4) fully polarized
23,
» a 4
3) Elly eI Hy
M2002 8 E 24.
25.
26.
27.
Which is a valid description of a linearly polarized wave with a diagonal orientation?
1) _ two linearly polarized waves that are orthogonal and in phase
2) two linearly polarized waves that are orthogonal and out of phase by 90°
8) two out-of-phase elliptically polarized waves with opposite rotations
4) none of these
The de-Broglie wavelength of a material particle which is in thermal equilibrium at
temperature Tis :
»
3)
VamkT
Every moving particle is associated with a wave packet, which
1) travels with the speed of light
2) has equal size as the particle
3) travels with the same speed of the particle
4) isimaginary
If B, is the energy of the lowest state of a one dimensional potential box of length 1
and E, is the energy of the lowest state when the length of the box is doubled. Then,
D
9 M2002 28.
29,
30.
31.
‘The commutation relation [#f, | is
yn VG
éx
2 - hava)
yah)
ex
4)
‘The eigenvalue of the operator. is
Do omh 2 mh
3) omit ay oh
‘The wave function of a hydrogen atom is denoted by V(7,0,9). Then the shape of the
atomic orbital is determined by
1) _ the angular part of ¥(7,0,9)
2) the radial part of w(r,0,@)
3) both Land 2
4) linear part of y(r,0,9)
Which of the following relations gives the upper limit to the energy of n'® state using
variational principle?
) ylAly}
2» ily)
a) (lay)
4 (vltw)
M2002 10 E BR.
33,
34,
35.
36.
Which one of the following particles is described by a symmetric wave function?
1) Proton. 2) Neutron
3) Muon 4) z-meson
‘The transition probability W,,, by constant perturbation using time dependent
perturbation theory is
un |?
» 2 Wea! il é
4 (ai) [Hin
3) Wan = 4) Wa =
DW Ee ) a
Consider a proton moving at 2x10°ms™ velocity. ‘The uncertainty in measuring the
position of the particle is,
Qo 25x10 2 16x10 "m
3) 2.9%10"'m 4) 1.2«10°%m
‘The entropy of a system S, is related to the accessible phase space volume T° by
S=k,Inl(E,N,V) where #, N and V are the energy, number of particles and
volume respectively. From this, one can conclude that I
1) does not change during evolution to equilibrium
2) — oscillates during evolution to equilibrium
3) isa maximum at equilibrium
4) isa minimum at equilibrium
Velocity of molecules based on Maxwell's law of distribution is
1) greater than the mean velocity
2) equal to root mean square velocity
3) less than the root mean square velocity
4) equal to the mean velocity
iW M2002 37.
38.
39.
40.
A fluid at high pressure is throttled through a narrow porous opening in a region of
lower pressure without any transfer of heat. In such process the
1) Entropy does not change
2) Gibbs free energy does not change
8) Enthalpy of fluid is constant
4) Entropy is decreased
‘Three identical spin t fermions are to be distributed in two non-degenerate distinet
energy levels. The number of ways this can be done is
yD 6 2 4
3) 10 4 2
An electric current of 3 amp flows through a resistance of 10 ohm, It is being cooled by
running water and kept at temperature 300 K. ‘The change in entropy per second of,
the resistance is
YD 1dideg 2) 0.5 dideg
3) No change 4) Qdideg
‘The change in internal energy of the gas is directly proportional to
1) change in volume
2) change in pressure
3) change in temperature
4) change of pressure and volume
41. Which of the following is not an exact differential?
1) dQ(Q= heat absorbed)
2) dU = internal energy)
3) dS(S = entropy)
4) dB(P = free energy)
M2002 BR E 42,
43.
4,
46.
‘Two stars A and B emit maximum radiation at 3600 A and 4900 A, respectively. The
temperature of two stars A and B are in the ratio
yD 2) LT
4 25
In a voltage divider biased npn transistor. If the upper voltage-divider resistor (the
one connected to Vec) opens, which one of the following will occur?
1) The transistor into cutoff
2) The transistor goes into saturation
3) The transistor burns out
4) The supply voltage is too high
When transistors are used in digital cireuits they usually operate in the
1) active region
2) breakdown region
3) saturation and cutoff region
4) linear region
An output which is proportional to the addition of two or more inputs is from which
type of amplifier?
1) diff
erentiator
2) difference
3) summing
4) analog substractor
The resolution of a D/A converter is approximately 0.4% of its full-scale range. It is a
1) &bit converter
2) 10-bit converter
3) 12.bit converter
4) 16-bit converter
13 M2002 41.
48.
49.
50.
When a program is being executed in an 8085 microprocessor, its program counter
contains
1) the number of instruction in the current program that have already been
executed
2) the total number of instructions in the program being executed
3) the memory address of the instruction that is being currently executed
4) _ the memory address of the instruction that is to be executed next
Power in a circuit is measured by measuring a current through the resistor. The
current is measured with an accuracy of + 1.5% and the tolerance band of the
resistor 40.5%. ‘The errors are limiting or guarantee errors. ‘The accuracy with
which power is measured is
1) 1.125% 2) 83.5%
3)
4) £2.5%
A diode for which you can change the reverse bias, and thus vary the capacitance is
called a
1) varactor diode 2) tunnel diode
3) zener diode 4) switching diode
The principal of least squares states that
1) The sum of the residuals is minimum
2) The average sum of two groups should be minimum
3) The sum of the squares of the residuals should be minimum
4) ‘The sum of the squares of the residuals should be maximum.
M2002 14 E SUBJECT CODE : 20— PAPER IT
: PHYSICAL SCIEN M2002
SET -—E-ANSWER KEY
Q.No. Key Q.No. Key
1. 1 26. 3
2, 1 27. 3
3. 2 28, 2
4 1 29. 1
5. 4 30. 1
6. 2 31 1
7. 1 32, 4
8 4 33. 2
9. 1 34. 2
10. 1 35. 3
11. 3 36. 3
12, 4 37. 3
13, 3 38. 2
4. 3 39. 3
15 1 40. 3
16. 1 4A 1
1. 1 42, 1
18, 1 43, 1
19, 3 44, 3
20. 2 45. 3
a1, 1 46. 2
22, 4 47. 4
23, 1 48. 2
24, 3 49, 1
25 2 50. 3
