1) If A= 6i-8j, then 4A has the magnitude:

(a) 40 (b) 10
(c) 20 (d) 80
2) Let A= 2i+6j-3k and B= 4i+2j+k then A.B equals:
(a) 6i+8j-3k (b) 17
(c) 23 (d) 46
3) If V is a scalar point function, then 𝛁V means:
(a) Gradient of a Scalar field (b) Curl of a vector field
(c) Divergence of a Vector field (d) Laplacian of scalar field
4) The volume of a parallelepiped bounded by Vectors A, B and C can be obtained
from the expression:
(a) (A x B ).C (b) (A.B)x C
(c) ( A x B ) x C (d) Any of these
5) A force acting on a particle is conservative if:
(a) It obeys Newton’s third law
(b) It obeys Newton’s second law
(c) It works equals the change in Kinetic energy
(d) Work done is independent of path
6) A torque applied to a rigid object always tends to produce:
(a) A rotational acceleration
(b) A linear acceleration
(c) Recessional motion
(d) Power rotatum
7) When the velocity of a body is constant, its acceleration is:
(a) Maximum
(b) Zero
(c) Infinity
(d) Increasing
8) In the absence of external torque, the total angular momentum is:
(a) Constant
(b) Zero
(c) Infinity
(d) Variable
9) The rate of change of Momentum of the particle is:
(a) Energy
(b) Force
(c) Impulse
(d) Power
10) The intensity of a mechanical wave is proportional to the square of:
(a) Amplitude
(b) Time
(c) Power
(d) Energy
11) The colours in soap bubbles, oil slick etc. in a thin film are due to:
(a) Diffraction
(b) Polarization
(c) Interference
(d) Scattering
12) For higher resolution, in a diffraction grating, one needs to have:
(a) Large number of ruling
(b) Small number of ruling
(c) No rulings at all
(d) Thick glass plate
13) To produce visible and detectable interference, the sources must be:
(a) Intense
(b) Incoherent
(c) Coherent
(d) Polychromatic
14) Interference fringes in YDSE are of:
(a) Unequal width
(b) Equal width
(c) Variable width
(d) Increasing width
15) A Carnot Cycle is:
(a) A rectangle on a P-V graph
(b) Bounded by two isotherms and two adiabats
(c) Any four sided process on a P-V graph
(d) Isobaric processes
16) In an Adiabatic process:
(a) The temperature of the system remains constant
(b) The temperature of the system must change
(c) The internal energy of the system remains constant
(d) Entropy of the system always increases
17) A Carnot Cycle heat engine operates between 227°C and 127° C. Its
efficiency is:
(a) 44%
(b) 20%
(c) 79%
(d) 18%
18) Metals pipe carrying water sometimes bursts in winter because:
(a) Water expands when freezes
(b) Ice expands when melts
(c) Metal contracts more than water
(d) Contraction of ice
19) A Fahrenheit thermometer and Celsius thermometer shows the same
reading at:
(a) 200°
(b) -40°
(c) 100°
(d) 273o
20) Constructive and destructive superposition of waves is observed when waves
have same direction and .
(a) Frequency
(b) Nature
(c) Speed and medium
(d) All of these
21) A watt-day is a unit of:
(a) 4184 J
(b) 3.6 MJ
(c) 86.4 kJ
(d) 1 J
22) The direction of any magnetic induction effect is such as to oppose the
cause of the effect. This is:
(a) Coulomb’s Law
(b) Ampere’s Law
(c) Lenz’s Law
(d) Faraday’s Law
23) A magnetic field cannot:
(a) Accelerate a charge
(b) Exert a force on a charge
(c) Change the kinetic energy of a charge
(d) Rotate the charge
24) The inverse of resistivity is called Conductivity. Its unit is:
(a) ohm-1
(b) ohm-metre
(c) (ohm-meter)-1
(d) ohm/meter
25) An LRC Circuit has R = 3 Ω, XC = 3 Ω and XL = 6 Ω, the impedance of the
circuit is:
(a) 45o
(b) 70o
(c) 90o
(d) 120o
26) A “step-down” transformer is used to:
(a) Increase the power
(b) Decrease the voltage
(c) Increase the voltage
(d) Increase the frequency
27) Electrical potential is the potential energy per unit:
(a) Charge
(b) Voltage
(c) Force
(d) Current
28) The force on a charge moving with the velocity in a magnetic field B is given
by:
(a) F = (q/v x B)
(b) F = q (v x B)
(c) F = (qv + B)
(d) F = q E
29) A changing current “i” in any circuit induces an emf “e” in that circuit,
which is equal to:
(a) e = di/dt
(b) e = i dF/dt
(c) e = – L di/dt
(d) e = L I / t
30) Inductive reactance of an inductor is:
(a) XL = ωL
(b) XL = 1/ωL
(c) XL = 1/ω2L
(d) XL = 1/ωL2
31) The resonant frequency of a tank LC circuit is:
(a) f = 1/2πLC
(b) f = 1/2π√LC
(c) f = 1/2LC
(d) f= LC/2π
32) The deliberate addition of an impurity element in a semi-conductor is called:
(a) Doping
(b) Annealing
(c) Mixing
(d) Synthesis
33) The conversion of DC into AC is called:
(a) Amplification
(b) Rectification
(c) Modulation
(d) Inversion
34) The Laser light is:
(a) Monochromatic
(b) Coloured
(c) Polychromatic
(d) Scattered
35) The Laser light may be obtained from:
(a) Quartz crystal
(b) NaCl crystal
(c) Ruby crystal
(d) Incandescent bulb
36) The number of photoelectrons in photoelectric effect is dependent on:
(a) Threshold frequency
(b) Intensity of light
(c) Nature of metal
(d) Frequency of light
37) Which one of the following is not needed in nuclear fission reactor:
(a) Fuel
(b) Accelerator
(c) Moderator
(d) Arrestor
38) The half-life of a radioactive isotope is 140 days. How many days would it
take to loose 3/4 of its initial activity?
(a) 105 days
(b) 280 days
(c) 35 days
(d) 70 days
39) Most of the energy produced in Sun is due to:
(a) Nuclear fusion
(b) Chemical reaction
(c) Nuclear Fission
(d) Solar flares
40) A U-235 nucleus will split when it captures:
(a) An α-particle
(b) Electromagnetic radiation
(c) Neutron
(d) An electron
41) Two particles each of mass 5.0 kg are mounted 4.0 m apart on a mass-less
light rod which is capable of rotation about its center? The moment of inertia
is:
(a) 1.25 kg m2
(b) 20 kg m2
(c) 40 kg m2
(d) 80 kg m2
42) The time period of mass of 1 kg attached to a spring of spring constant of
100 N/m is:
(a) 0.2π
(b) π
(c) 2π
(d) 4π
43) A 14 cm inner diameter water main furnishes water (through intermediate
pipes) to a 1.00 cm inner diameter faucet pipe. If the average speed in the faucet
pipe is 3.0 cm/s, what will be the average speed it causes in the water main?
(a) 0.015 cm/s
(b) 0.15 m/s
(c) 0.5 m/s
(d) 588 cm/s
44) What is the tension T in the rope if a 10 N weight is being pulled upward by
it with a constant velocity of 2 m/s?
(a) 12 N
(b) 8 N
(c) 5 N
(d) 10 N
45) The ratio of linear stress to tensile strain is called:
(a) Young’s modulus
(b) Bulk modulus
(c) Deformation
(d) Shear modulus
46) A body is moving with constant speed in a circle, its velocity vector:
(a) Remains constant
(b) Changes its magnitude
(c) Changes its direction
(d) Changes magnitude and direction
47) When a constant torque is acting on a rotating system, which of the
following is constant?
(a) Angular velocity
(b) Angular acceleration
(c) Angular momentum
(d) Moment of inertia
48) A geo-stationary satellite revolves around the earth from:
(a) East to west
(b) West to east
(c) North to south
(d) Arbitrarily
49) According to Einstein, with the great increase in the speed of a body, the
relativistic effect is that:
(a) Length remains constant
(b) Time decreases
(c) Mass increases
(d) Momentum decreases
50) A body is moving northward and the force applied is eastward, the
acceleration produced is:
(a) Northward
(b) At 45o east of north
(c) Eastward
(d) Westward
51) Time harmonic electric fields are:
(a) Non-conservative (b) Conservative
(c) Linear (d) Solenoidal
52) The velocity of a confined Gaussian wave packet is called:
(a) Beat velocity (b) Phase velocity
(c) Group velocity (d) Super velocity
53) If object is placed at a distance of 2f from the biconvex lens, the
magnification achieved is:
(a) Unity (b) Less than unity
(c) Zero (d) Greater than unity
54) Divergence of position vector in 2D Cartesian plane is:
(a) 2 (b) 3
(c) Zero (d) 1
55) A beam of x-ray photons is scattered from graphite target. The detector
detects the transversely scattered beam. The shift in wavelength is:
(a) 1.21 pm
(b) 4.86 pm
(c) Zero
(d) 2.43 pm
56) In a mass spectrometer, when all the trajectories are made to fall in a fixed
detector, the mass of each isotope is proportional to:
(a) Square of magnetic field
(b) Magnetic field
(c) Square root of magnetic field
(d) Cube of magnetic field
57) The shortest wavelength emitted by hydrogen is UV region is:
(a) 364.6 nm
(b) 91 nm
(c) 820 nm
(d) 1.2 μm
58) When a magnetic dipole is placed in an external uniform magnetic field such
that magnetic dipole moment and field are parallel, the torque will be:
(a) Zero
(b) Maximum
(c) Positive
(d) Negative
59) The coefficient of coupling between primary and secondary coil is:
(a) M2/LSLP
(b) 𝑴⁄
√𝑳𝑺 𝑳𝑷
(c) Always one
(d) Always zero
60) A rigid container is adiabatically sealed. Which of the quantity remains
constant?
(a) Temperature
(b) Entropy
(c) Pressure
(d) All of these
61) The viscosity of gases is due to a process known as and depends
directly on .
(a) Diffusion, T
(b) Adhesion, 1/T
(c) Diffusion, √𝑻
(d) Cohesion, √𝑇
62) A random light source produces wavefronts and consecutive wavefronts
are drawn a distance apart.
(a) Elliptical, wavelength
(b) Cylindrical, wavelength
(c) Spherical, half wavelength
(d) Planar, wavelength
63) A transistor can operate in region(s) while acting as a switch.
(a) One
(b) Four
(c) Two
(d) Three
64) Earth like gravity can be obtained in a spaceship of diameter 19.6 m when
its time period about its axis is:
(a) 1.00 s
(b) 6.28 s
(c) 3.14 s
(d) 2.00 s
65) If a system can be arranged in 10200 times more ways after absorbing some
heat, the entropy change is J/K.
(a) 1.38 x 10-23
(b) 2.76 x 10-21
(c) 4.14 x 10-23
(d) Zero
66) The force of gravity above the Earth’s surface is proportional to and
inside the Earth it is proportional to:
(a) 1/𝑟2, 𝑟2
(b) 𝟏/𝒓𝟐, 𝒓
(c) 1/𝑟, 𝑟2
(d) 1/𝑟, 𝑟
67) If bandgap of a light emitting material is 2.5 eV, the emitted light would be:
(a) Yellow
(b) Green
(c) Red
(d) Blue
68) A body starts executing SHM when it was at extreme position at t=0. The
maximum displacement, it can cover is, if amplitude is A.
(a) 2A
(b) A
(c) 4A
(d) A/2
69) At higher temperature, the heat capacity of solids:
(a) Increases
(b) Decreases
(c) Remains constant
(d) Fluctuates
70) The measurement of volume of a sphere has 9 % uncertainty. The
percentage uncertainty in its surface area is:
(a) 3 %
(b) 9 %
(c) 18 %
(d) 6 %
71) Work done in an isothermal process is:
(a) Zero
(b) nRT/V
(c) nRT loge (Vf/Vi)
(d) nRT loge (Vi/Vf)
72) The Lorentz transformation equations reduce to Galilean transformation
equations when:
(a) Velocity is relativistic
(b) Reduction is velocity independent
(c) Velocity is very low
(d) Acceleration is infinite
73) When trivalent impurity is added to silicon, the resistivity of chip:
(a) Decreases
(b) Remains same
(c) Increases
(d) Decreases exponentially
74) Galaxies recede from earth at speeds proportional to their distances is called
as:
(a) Recessional law
(b) Expansion law
(c) Hubble’s law
(d) Boltzmann’s law
75) In condensed matter physics, a pair of fermions bound together at low
temperatures is called pair.
(a) Cooper
(b) Schneider
(c) Fermi
(d) Gaussian
76) In a conducting medium, the electric field attenuates to 1/e of its incident
value when travels a distance, called .
(a) Surface attenuation
(b) Propagation constant
(c) Skin depth
(d) Apparent depth
77) If a wavefunction A δ(x) is normalized, the normalization constant A would
be: (Where δ(x) is Dirac delta function)
(a) 1⁄
√2
(b) 1
(c) √2
(d) Zero
78) A positive charge enters the plane of this page from bottom to top and
magnetic field is applied into the page. It starts .
(a) Rotating anti-clockwise
(b) Rotating clockwise
(c) Rotating in spiral path
(d) Oscillating
79) Which is used to couple a source of small source resistance to a load of small
resistive value?
(a) Common emitter amplifier
(b) Common base amplifier
(c) Common collector amplifier
(d) Differential amplifier
80) Acceleration produced due to external force (which is not force of gravity)
is called:
(a) Inertial acceleration
(b) Meridian acceleration
(c) Propellant acceleration
(d) Galactic acceleration