CUSAT CAT 2019 Question Paper Physics

CAT – 2019 PHYSICS PG

019
2
S T
E
1. T
A simple pendulum is taken inside a coal mine. Relative to the period of oscillation on
N
the surface, the time period inside the mine
O
S
(A) remains the same
I
(B) decreases IS
(C) increasesM
D
A infinite
(D) becomes
M
N
2. TheM
O
motion of a simple pendulum undergoing large oscillation can be described as

SA
O
M
O E
(A) harmonic, non-conservative
C (B) harmonic, conservative
C T
T (C) anharmonic, non-conservative

T
(D) anharmonic, conservative
CU
3.
A N
When a planet moves around the sun its
19
(A)
S IO
Arial velocity is constant
2 0
U S
(B) Linear velocity is constant
(C)
ST
Angular velocity is constant

C IS E
(D) Velocity is constant
T
N
O
M
4. Which one of the following electromagnetic waves has the longest wavelength?

S I
IS
(A) X-rays

D
(B) visible light
(C) infrared
M
A D
(D) radio waves
A
N
5.
O
According to the principle of superposition of waves, when two waves superpose each

M
other, algebraic addition takes place in
(A) wavelength M
(B)
(C)
intensity
amplitude C O
(D) frequency
AT
S
CU

6. Good absorbers of heat are
(A) highly polished
019
(B) good emitters 2
(C) poor emitters
S T
E
(D) insulators
T
N
O
7. I
A diatomic molecule has ___________ degrees of freedom in general
S
(A) three IS
M
M
(B) four
D
(C) five
A

(D)
N
six
O
M
M
O
8. A cubical steel block of side 10 cm having density 7.8 g/cm3 floats on mercury of density

SAT
CO
(A) 2.23 cm E
13.6 g/cm3 with its side vertical. What length of the block is above the mercury?

C T
T
(B) 4.26 cm
CU
N
(C) 7.7 cm

A
(D) 9.32 cm

19
9.
S IO 2 0
The acceleration of a body revolving in a circle at uniform speed is
(A)
U
C IS
(B)
(C) S E ST
directed towards the centre
directed away from the centre
T
directed tangentially
(D) zero
N
O
10.
M IS
S I
Which one of the following is not accelerated?
(A)
D M
A rocket travelling from earth surface to sky

A D
(B) A stone in free fall
(C) A
A tennis ball rebounding from the ground
(D)
N
A car in which engine thrust is equal to the friction
O
11. M
When a charge is given to a soap bubble, it shows ___________ in size
M
(A)
(B)
decrease
increase C O
(C) no change
AT
(D) infinity
S
CU

12. Which one of the following is invariant under a Galilean transformation?
(A) Force
019
(B) Velocity 2
(C) Momentum
S T
E
(D) Displacement
T
N
O
13. I
Two particles approach each other with different velocities. After collision, one of them
S
IS
is found to have momentum ‘p’ in their centre of mass frame. In the same reference
frame, the other particle must have momentum,
M
(A) zero
A
D
M
(B)
N
– p/2
(C) O
–p
M
(D) – 2p

T
14. CO
M
O
C T E
A magnet of length 10 cm and pole strength 100 is placed with its axis making an angle

SA moment of the couple on the magnet in CGS units is
of 30° with the direction of a uniform magnetic field of strength 0.4 CGS units. The

CU (A) 40

AT N 19
S IO
(B) 80
(C)
(D)
100
200 2 0
15. U
C IS S E ST
Particles that travel at the speed of light are called
T
(A) solitons
N
O
M
(B) luxons
(C) tachyons
S I
IS
D
(D) exciton

M
16.

A D
If we neglect the effect of air resistance, then the shape of the curve described by a
A
projectile thrown horizontally from the top of a 14th floor building will be a
(A)
O
N
straight line
(B)
(C)
parabola
circle M
M
(D) zigzag

C O
AT
S
CU

17. The distance between two coherent sources is 0.2 mm and interference fringes pattern is

19
observed on a screen of 80 cm from the sources. If the wavelength is 6000 Å, then how
0
far is the second dark fringe from the central bright fringe?
2
(A) 0.24 cm
S T
E
(B) 0.36 cm
(C) 0.48 cm T
(D) 0.60 cm N
O
S I
18.
S
A Schottky defect Iin a crystal is an example of
M
A
D atom
(A) a missing
M
(C) O
N
(B) an extra atom
a colour centre
M stacking fault
(D)

T
19.

SA
CO
M
O
C T E
In Boolean algebra, A.Ā is equal to

T
(A) A
CU
N
(B) Ā

A
(C) 0

19
S IO
(D) 1

2 0
U S T
20. To construct a two input OR gate, one need at least
S
C IS E
(A) one resistance and two capacitors
(B) T
one resistance and two diodes
(C)
N
one diode and two resistances
O
M
(D) one diode and one resistance

S I
IS
21.

D
Electron is a
M
A D
(A) lepton
(B) meson A
(C) baryon
N
(D) muon
O
M
22. A stationary electric charge producesM
(A) magnetic field C O
(B) electric field
A T fields
S field
(C) both electric and magnetic

U
(D) time varying electric
C

23. 19
How long will it take for a radioactive element having half-life of 0.693 years to decrease
0
its 10% of radioactive material? 2
(A) 2.303 years S T
E
(B) 2.303 days T
(C) 2.303 minutes N
O
(D) 2.303 seconds
SI
IS
M
M
24. The potential of an anharmonic oscillator is
D
(A) x/2 A

(B) x N
O
2
/2
(C)M x /3
3

M
O
4
(D) x /4

SA T
25.
CO
C T E
If the motion of a particle is described by the differential equation d2x/dt2 + ax = 0, then

T
the force acting on the particle is
CU (A)
(B)
A
ax
– ax
N 19
S IO 0
(C) a2x2
(D) 1/ax 2
26.
U
C IS S E ST
For large value of x, the function (1-x2)/(x2+1) can be approximated to
T
(A) infinity
N
(B) zero
O
(C)
(D)
M–1
+1
IS
S I
D M
A D
27. The value of (sin x) / x for a small value of x is,
A
(A)
N
infinity
(B)
(C)
zero
–1 O
(D) +1 M
M
C O
AT
S
CU

28. A body acted upon by a constant force has a uniform
(A) velocity
019
(B) acceleration 2
(C) speed
S T
E
(D) momentum
T
N
O
29. I
How many atoms per unit cell are in the fcc structure?
S
(A) 2 IS
M
M
(B) 4
D
(C) 6
A

(D)
N
12
O
M
M
O
30. Transformers are used to

SAT E
CO (A) convert AC to DC
C T
(B) step up/down AC voltages

T
(C) convert DC to AC
CU
N
(D) step up/down DC voltages

31.
A
S IO 0 19
A source of wavelength 5896 Å is incident on a slit at a perpendicular distance of 3 mm
2
from Lloyd’s single mirror and the screen is placed at a distance of 120 cm from the

U S T
source. The fringe width is
S
C IS E
(A) 0.059 m
(B) 0.0118 cm T
(C) 0.0236 cm
N
O
M
(D) 0.0354 cm

S I
IS
32.

D
A particle cannot travel with the speed of light because its mass will become
M
A D
(A) zero
(B) infinite A
(C) large
N
(D) small
O
M
33. Meissner effect is M
(A) splitting of spectral linesC
O
in an electric field
(B) inelastic scattering ofT photons

S A
(C) exclusion of magnetic flux

CU
(D) tunneling of electrons

34. Josephson effect is
(A) 19
splitting of spectral lines in an electric field
0
(B) inelastic scattering of photons 2
(C) exclusion of magnetic flux
S T
E
(D) tunneling of electrons
T
N
O
35. I
The instrument useful for the measurement of the intensity of radiation is
S
IS
(A) tangent galvanometer
(B) ammeterM
A
D
(C) actinometer
M
N
(D) radiometer
O
M
O
M process of combination of a particle and an antiparticle and then its conversion to
36. The

SA T (A) fusion E
COradiation is called as
C T
T
(B) emission
CU
N
(C) annealing

A
(D) annihilation

19
37.
S IO 2 0
A heavy pendulum that can be used to measure the velocity of a projectile is
(A)
(B)
(C)
U
C IS S
simple pendulum
inverted pendulum
froude pendulum T E ST
(D) ballistic pendulum
N
O
38.
M IS
S I
Total number of Bravais lattices in three dimension is
(A)
D 4
M
A D
(B) 7
(C) 14 A
(D) 32
N
O
39. A negative electrode is called as M
M
(A)
(B)
anode
cathode C O
(C) base
AT
(D) emitter
S
CU

40. A way of transfer of heat in which there is movement of the molecules of the liquid is
(A) diffusion
019
(B) convection 2
(C) radiation
S T
E
(D) dispersion
T
N
O
41. I
The characteristic impedance (Zc) of free space is
S
(A) 377 ohm IS
M
D
M
E
(B)
H A

(C) O
Nμ
√
M ε
o

O
o
M
E
(D) All of the above
CO
SA T
42.
C T
For a particle moving on a two dimensional plane, the number of components required to

CU
T
specify the state of the system is
(A) 1

A N 19
S IO
(B) 2
(C) 3
2 0
U
(D) 4

43.

C IS S
One horse power is
(A) 246 watts N
T E ST

O
M I
(B) 546 watts
(C) 746 watts
S
IS
D
(D) 946 watts

M
44.
A A
D
In a sonometer, a wire of 1 meter long is stretched by a weight of 15 kg and it is in unison
with a tuning fork of frequency 256. The mass of the wire is
(A) O
N
0.0056 g
(B) 0.056 g
M
(C) 0.56 g
M
(D) 5.6 g
C O
AT
S
CU

45. What is the lowest frequency emitted by a column of air enclosed in a tube of one metre

19
long which is closed at one end? (Assume the velocity of sound in air as 340 metre per
second.)
20
(A) 340 Hz
S T
E
(B) 170 Hz
(C) 85 Hz T
(D) 56 Hz N
O
S I
46. A magnetic pole ofISstrength 10 CGS unit attracts another pole placed at a distance of
M
M
D a force of 2 dynes. The strength of the second pole in CGS units is
5 cm from it with
A

(A) 2
(B) O 5
N
(C)M 10

SA
T
47.
CO
M
(D) 50

O
C T E
The following particles are moving with the same velocity. Which one will have the

CU
T
shortest wavelength?
(A)

A N
electron

19
S IO
(B) neutron
(C)
(D)
neutrino
proton 2 0
48. U
C IS S E ST
Which one of the following statements about the energy (E) in a quantum is true?
T
(A)
N
varies directly with frequency
O
M I
(B) varies inversely with frequency
(C)
S
same for all frequencies

IS
D
(D) not predictable

M
49.

A
(A)
(B) O
N
D
In quantum mechanics, the Schroedinger's approach requires
A
integral and differential calculus
matrix and vector algebra
(C) bra-ket notation
M
(D)
M
differential calculus and algebra

C O
AT
S
CU

50. The lowest energy of an electron confined to move in a one dimensional infinite

19
potential well of width 0.5 Å is
(A) 9.375 eV 20
(B) 12.5.0 eV
S T
E
(C) 37.5 eV
(D) 150.0 eV T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
C T E
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

51. The term “degeneracy” means that

(A) 019
one eigenvalue have more than one eigenfunction
(B) 2
one eignevalue have one eigenfunction only
(C) T
one eignefunction have many eigenvalues
S
E
(D) eigenfunction is zero for excited state
T
N
O
52. I
A cyclist measures the average speed v of his cycling by measuring the distance moved
S
IS
in a particular time. He measured the distance as d = 120 ± m and time as t = 20.0 ± 1.2 s.
M
M
What is the average speed v?
D
A
(A) 6.0 m/s

N
(B) 6.42m/s
(C) O
6.0±0.4 m/s
M
M
O
(D) 6.0 ±0.2m/s

SA T
53.
CO
C T E
A constant voltage source will have

CU (A)
(B)
(C) T
low internal resistance

A N
zero internal resistance
infinite internal resistance
19
S IO 0
(D) None of the above
2
54.
U S ST
What is the total current flowing through the battery in the circuit shown below?

C IS T E
N
O
M IS
S I
D M
A
(A)
(B)
(C)
2A
0.4 A
4A O
N
A
D

(D) 4.5 A M
M
C O
AT
S
CU

55. An object of height 5 cm is placed at 6 cm away from a lens of focal length 10 cm. Find
the image distance and magnification.
019
(A) -15 cm, 2.5 2
(B) 15 cm, 2.5
S T
E
(C) 30 cm, 5
(D) None of the above T
N
O
56.
I
SI is 1.5. Find the wavelength of a beam of light with a frequency
Refractive index of Sglass
M (Assume velocity of light is 3 × 10 m/sec in vacuum.)
M
14 8
of 10 Hz in glass.
D
(A) 4 μmA

(B) 2 N μm
(C) O 5 μm
M
M
O
(D) 8 μm

SA
CO
C T E
T Light of wavelength λ and intensity I causes photo electric emission from a given
57.

T
surface with maximum kinetic energy K. If light of wavelength 0.8 λ and intensity 2I is
CU
N
incident on the same photocathode, what will be the maximum kinetic energy of emitted

A 9
electrons?
1
(A)
S IOK/0.8
2 0
U
(B) 0.8 K

58.
(C)
(D)

C IS S2K/0.8 exactly
more than K/0.8

N
T E ST
A planet is moving around the Sun in a circular orbit of circumference C. The work done
O
M I
on the planet by the gravitational force F of the Sun is

IS
S
(A)
(B)
D F/C
FC/2 M
A D
(C) FC
(D) zero A
N
O
59.
M
Of the following which is perfect diamagnetic?

M temperature
(A) A super conductor below its critical

CONeel temperature
(B) An antiferromagnet below its
(C) Spin glass

A T at very low temperature
(D) A paramagnetic material
S
C U

60. Below critical temperature, a superconductor has zero resistance. The charge carriers in
this state are
019
(A) mesons 2
(B) fermions
S T
E
(C) electrons
(D) bosons T
N
O
S I
61.
IS
A vector field is characterised by its
M
D
(A) field intensity
(B) flux A density
M
N
(C) potential
(D) O
M All of the above

SA
O
M
O E
62. C Our understanding of red shift/ blue shift has brought us into new horizon of knowledge
T like
C T
CU
AT
(A) the universe is expanding

N
(B) andromeda galaxy will collide with the Milky way in 3.75 billion years
9
(C) most galaxies are moving away from us
1
S IO 0
(D) All of the above
2
63.
U S ST
A charged particle q travels 0.1 meter in a uniform magnetic field of 2T and loses its

C IS E
energy by 100 keV. What is the work done by the magnetic field on the charge?
T
(A) 200 keV N
O
M I
(B) zero
(C) –200 keV
S
IS
D
(D) 100 keV

M
64.

(A)
(B)
A O
N
D
Why is the cosmic background radiation so cool?
A
Interstellar dust grains absorbs and cools it.
Movement through it is so fast.
(C)
M
The expansion of the Universe has lengthened its wavelength.
(D) It is emitted by cool stars.
M
C O
AT
S
CU

65. _________ susceptibility is independent of temperature.

(A) Paramagnetic 019
(B) Ferromagnetic 2
(C) Diamagnetic
S T
E
(D) Ferrimagnetic
T
N
O
66. I
If in the configuration space a system of particles need N coordinates, in the Phase Space
S
IS
representation, how many coordinates are needed to represent it?
M
(A)
(B)
N/2
2N A
D
M
(C) 2N
(D) O
zero
M

S
67.
AT
M
on
O E
COThe rate at which information can be carried through a communication channel depends
C T
CU (A)
(B)
(C) T
carrier frequency alone

A N
bandwidth
transmission loss
19
S IO 0
(D) signal frequency
2
68.
U S
A geosynchronous satellite has

(A)
C IS T E ST
the same axial rotation period as that of the Earth
(B) a circular orbit
N
O
M
(C) a distance of 36000 km from Earth
(D) All of the above
S I
IS
D M
A O
N
A
D

M
M
C O
AT
S
CU

69. In the given voltage comparator circuit, what is the output waveform if we are inputting a
sine wave at positive terminal of the op-amp.
019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M amplified sine wave
(A)
M
O
(B) sine wave with different time period of the input

SAT
CO (C)
E
saw tooth wave with same amplitude

C T
(D) square wave with same time period of the input

CU 70.
T N
Match the following

A 19
S IO
(a) LED 1. Stimulated emission
(b)
(c)
diode LASER
Solar Cell 2 0 2.
3.
Spontaneous emission
Light detector

U
C IS
(A)
(B)
(d)

S
Photo diode

a-4, b-1, c-3, d-2
a-1, b-2, c-3, d-4T E ST 4. Power generation

(C) N
a-2, b-1, c-4, d-3
O
M I
(D) a-2, b-,1 c-3, d-4
S
IS
71.
D M
Ripple factor is independent of the load for

A
(A)
(B)
(C)
(D)
A
D
Capacitor filter

N
Inductance filter

O
Resistor-Capacitor filter
LC filter
M
M
C O
AT
S
CU

72. In all normal operations of a transistor, the emitter junction is ----------- biased and the
collector junction is ----------- biased.
019
(A) reverse, forward 2
(B) forward, forward
S T
E
(C) forward, reverse
(D) reverse, reverse T
N
O
I
A state is denoted asSSD . What is the minimum number of electrons which could give
I
4
73. 5/2

rise to this state?M

(A) 1 A
D
M
(B) 2 N
(C) O 3
M
M
O
(D) 4

SA
CO
C T E
T Hyperfine interaction appearing in the ESR spectra demonstrate that
74.

CU (A)
(B)
(C) T
molecule has orbital angular momentum

A N
nucleus has spin angular momentum
9
electron has total angular momentum
1
S IO 0
(D) nucleus always are spherical in shape
2
75.
U S ST
If the intensive property of a thermodynamic system is specific heat, the corresponding

C IS E
extensive property of the system is
T
(A) entropy
N
(B) surface tension
O
(C)
(D)
M IS
S I
volume of the system
heat capacity of the system

D M
A D
76. A particle has position (x, y, z) and corresponding momenta (p x, py, pz). According to
A
Heisenberg’s Uncertainty principle, which of the following observables cannot be measured

N
exactly at the same time?
(A) O
x and px
(B) x and py M
(C) py and pz M
(D) x and z
C O
AT
S
CU

77. Under the influence of a weak magnetic field (B), Normal Zemann effect might be
exhibited by
019
(A) Hydrogen (H) 2
(B) Helium (He)
S T
E
(C) Magnesium (Mg)
(D) Both (B) and (C) T
N
O
S I
78.
IS waves is equal to the velocity of
Group velocity of matter
M
(A) sound D
(B) lightA
waves
waves
M
N rays
(C) gamma
(D) O
M the moving particles

SA T
O
M
O
C T E
79. C Geiger- Muller counter can

(A) detect type of radiation

CU
T
(B) detect energy of radiation

A N
(C) only count the number of particles irrespective of the type of it
(D) Both (A) and (B)
19
S IO 2 0
U S
80. In - decay, which of the following is not conserved?

ST
C IS E
(A) total mass and energy
(B) angular momentum
T
(C) linear momentum
N
(D) parity
O
M IS
S I
D
81. Two mutually coherent waves of 600 nm light travel in the same direction to reach a
M
point. If the second wave was delayed by a distance of 200 nm, the phase difference

A
between them is

(A)
(B)
N
A
2 radians
O
360 degree
D

(C) 0.67 π radian M
(D)  radians
M
C O
AT
S
CU

82. When unpolarized light falls on a glass plate at Brewster angle, the angle between the
reflected and refracted rays is
019
(A) 60º 2
(B) 30º
S T
E
(C) 90º
(D) 45º T
N
O
S I
83.
IS is valid for
Weidmann –Franz law

(A) MetalsDM
A
(B) Insulators
M
N
(C) Semiconductors
(D) O
M All materials

SA
O
M
O E
84. C Temperature coefficient of resistance (TCR) curves for two semiconductors A and B are

C T
T shown below. What is your conclusion?
CU
AT A
N 19 B

S IO 2 0
U
C IS S T E ST
N
O
(A)
M S I
Both have equal band gap
IS
D
(B) A has higher band gap
(C)
M
B has higher band gap

A D
(D) Temperature coefficient of resistance is positive for both A and B

A
85. N
In case of friction between two bodies
O
(A) M
Rolling friction > static friction > kinetic friction
(B)
M
Static friction > rolling friction > kinetic friction
(C)
(D) C O
Rolling friction > kinetic friction > static friction
Static friction > kinetic friction > rolling friction

AT
S
CU

86. Resistivity of metals becomes constant at very low temperature. This constant

19
resistivity is called _______ and it indicates the _________ of metals.
0
(A) residual resistivity, impurity 2
(B) residual resistivity, hardnessT
E S

(C) phonon resistivity, purity
T
(D) phonon resistivity, hardness
N
O
87.
SI
For an ideal gas theSaverage velocity V , most probable velocity V
I
velocity V areMrelated as
ave and the RMS
pro

D
M
rms

A >V

(A) V >V
(B) O
N ave
V >V > V
rms
pro

ave
rms

pro

(C)M V >V >V
M
O
rms pro ave

CO
E
(D) None of the above

SA88.
C T
T A Gaussian surface ‘S’ is as shown in figure below and charge distribution in it and
CU
AT N
around are also shown. Gauss law is given as

19
. In this equation

S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A D
(A) q
contribution to E is due to only charges q2 , q3 and contribution to flux is due
A ∈0

N
to all the charges, q1 , q2 , q3 , q4
(B)
O
contribution to E is due to only charges q2 , q3 and contribution to flux
q
is also
M ∈0
from the charges q2 , q3 only
M
q
is only due to q2 , q3 .C O
(C) contribution to E is due to all the charges, q1 , q2 , q3 , q4 but contribution to flux

(D)
∈0
AT q
S
contribution to E as well as to flux are constant respective of the charge
U
∈0
distribution.
C

019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
C T E
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

89. A cube of side L0 moves with a velocity v parallel to one of its sides. Its volume as

19
observed by a stationery observer, according to the theory of relativity, will be
0
(A) L03 2
(B) L03 (1 – V2/c2)3 S T
E
(C) L03 (1 – V2/c2)3/2
T
(D) L03 (1 – V2/c2)1/2N
O
SI
90. IS = A sin (ωt +kx ) represents a
The equation, Y(x,t)
M
(A) D
M
A wave with wave length λ= 2kπ and progressing in the –ve X- direction
transverse

(B) O
N 2π
transverse wave with wave length λ= and progressing in the +ve
M k

SA T
O
O
M X- direction

C T
X- direction E
C (C) longitudinal wave with wave length λ= ❑k and progressing in the –ve

CU
T
(D) 2π
longitudinal wave with wave length λ= and progressing in the +ve

N
k

A 9
X- direction
1
S IO 2 0
U
91. What is the velocity of sound in a gas through which two waves of wave lengths 50 cm

(A)
(B)
(C)C IS S
and 50.4 cm produce six beats?

30.3 m/s
405 m/s
303 m/s N
T E ST

O
M I
(D) None of the above
S
IS
92.
D M
Which of the following is not a fundamental particle?

(A)
(B)
(C)
(D)
A Electron
Proton
Photon
O
Positron
N
A
D

M
93. Which of the following statementsO
M
is not TRUE about γ-radiation?

(A) Excited nuclei emits T
C
γ-radiation and are electromagnetic waves

S A centimeters of lead
(B) It can penetrate several

CU
(C) It can be deflected by electric and magnetic fields
(D) It can ionize gases

94. 019
The recoil momentum of an atom is PA when it emits a photon of wavelength 1500 nm,
2
and it is PB when it emits a photon of visible wavelength 500 nm. The ratio P A:PB is
S T
E
(A) 1:1
(B) 1:3 T
(C) 3:1 N
O
(D) 3:2
SI
IS
M
95. D
M
An electron which is confined in the ground state in a one dimensional box of width
A
10-10m has energy = 38 eV. The energy of the electron in the first excited state is

N
O
M
(A) 152 eV
M
O
(B) 251 eV

CO (D) 351 eV
E
(C) 51 eV

SAT
C T
CU 96.
T N
Write down the Boolean expression for the logic circuit shown below.

A 19
S IO 2 0
U
C IS S T E ST
N
O
M I
(A) (AB + CD). CD = AB
(B) S
(AB + A). ((C + D).D) = A.D
IS
D
(C) (AB + CD) = A.D
(D)
M
None of the above

97.
A N
A
D
The binary coded decimal (BCD) equivalent of 429 is

(A) O
01000010100
(B) 010001101001 M
(C) 110000101001 M
(D) 010000101001
C O
AT
S
CU

98. The semi-empirical mass formula for the binding energy of the nucleus has surface

19
correction term. This depends on the mass number A as
0
(A) A-1/3 2
(B) A1/3 S T
E
(C) A2/3
(D) A T
N
O
S I
99. A bulb contains oneISmole of hydrogen mixed with one mole of oxygen at temperature T.
M values of velocity of hydrogen molecules to that of oxygen molecules
M
The ratio of ‘rms’
D
is
A

(A) O N
1:16
(B)M 1:4
M
O
(C) 4:1

A T
O
C (D) 16:1
C T E
S 100. Resistivity of copper is lower than that of nickel. When a small percentage of copper is
CU
T N
added to nickel, the resistivity of nickel

A 19
S IO
(A) increases
(B)
(C)
decreases
may increase or decrease 2 0

101.
(D)

U
C IS S
remains the same

T E ST
Schottky defects occur predominantly in
N
O
M I
(A) covalent crystals
(B) ionic crystals S
IS
D
(C) molecular crystals
(D)
M
polar crystals

102.
A N
A
D
Escape velocity of earth is 11.2 km/s, then the escape velocity of a planet with three times

O
the earth’s mass and having the same radius as that of the earth will be

(A) 19.4 km/s M
(B) 33.6 km/s M
(C) 6.6 km/s
C O
(D) 22.4 km/s

AT
S
CU

103. In a thermodynamic process, which of the following is not a state function (a path
independent function)?
019
(A) Amount of heat(dQ) 2
(B) Internal energy (dU) S T
E
(C) Enthalpy (dH)
(D) Entropy (dS) T
N
O
SI
IS (X) at the corners and also at the centers of the faces and cations
104. A unit cell has anions
(M) in the centreMof each edge. The formula of the compound is

(A) MXA
D
M
N 2

O
(B) MX
(C)M M X
3

O
2

M
(D) M X

E
3 4

CO
SA105.
C T
T A plane intercepts the crystal axes ‘a’ at 0.25a and ‘b’ at 0.50b. It is parallel to the third

T
axis. Determine the Miller indices of the plane.
CU (A)

A
(312)
N 19
S IO
(B) (210)
(C)
(D)
(212)
(110) 2 0
U
C IS S T E ST
106. He4 becomes a super fluid at 2.19 K but He3 does not behave like a super fluid even down
to 100 mK. Why?
N
O
M I
(A) He3 is lighter than He4
S
IS
(B) He4 is bosonic in its electronic as well as nuclear structure. Hence Bose-Einstein

D
condensation happens at 2.19 K , whereas He3 is a Fermion and hence Bose
M
condensation is not possible

A O
N
A
D
(C) zero point energy of He3 is very large.
(D) He3 has higher critical temperature

107.
M
If an observable has no explicit time dependence and it commutes with the Hamiltonian,
M
then it is a quantum mechanical_____________

(A) fudge factor
C O
(B)
(C) AT
dynamical variable
universal constant
(D) S
constant of the motion

CU

108. Ehrenfest’s theorem partially shows the connection between quantum mechanics and

(A) classical mechanics 019
(B) quantum electrodynamics 2
(C) special relativity
S T
E
(D) cosmology
T
N
O
109. I
Which of the following results is not equal to zero?
S
S
(A) Scalar tripleI product of three coplanar vectors
M product of three non-coplanar vectors
D
M
(B) Vector triple
(C) CurlA of the gradient of electric potential

N
(D) Divergence of the curl of magnetic vector potential
O
M

SA
M
O E
110. On a horizontal frictionless surface, a 2 Kg mass A moving with speed 8.0 m/s strikes a
CO4.0 Kg mass B which is initially at rest. A gets deflected by 60° in its onward journey and
C T
T moves with speed 4.0m/s after the collision. If ball B moves in the initial direction of A,

T
then speed of B after collision is [assume that there is no external forces acting during or
CU
N
after the collision]

(A)
(B)
(C)
A
S IO
2.0 m/s
3.0 m/s
3.5 m/s 2 0 19

111.
(D)

U
C IS S
4.9 m/s

T E ST
In quantum mechanics, the infinite square well corresponds to
N
O
M I
(A) bound systems
(B) S
unbound systems
IS
D
(C) isolated systems
(D)
M
classical systems

A O
N
A
D

M
M
C O
AT
S
CU

112. Which of the following curves best represent growth of current in a series L-R circuit fed
with a DC supply?
019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M
(A) curve A
M
O
(B) curve B

CO (D) curve D
E
(C) curve C

SAT
C T
CU 113.
T N
In an infinite square well potential, the wave function and its first spatial derivative are

A 19
S IO
(A) both continuous at the boundaries
(B)
(C) 2 0
continuous and discontinuous at the boundaries, respectively
discontinuous and continuous at the boundaries, respectively

U S T
(D) both discontinuous at the boundaries
S
114.
C IS
The free particle system has

O
N
T E

M I
(A) the simple harmonic oscillator potential (SHO)
(B)
S
an infinite square well potential
IS
D
(C) a finite square well potential
(D)
M
zero (or a constant) potential everywhere

115.
A A
D
The purpose of moderators in nuclear power reactors is to

(A) O
N
thermalize the high energy neutrons
(B) energize the neutrons M
(C) control the number of neutrons M
(D) absorb the neutrons
C O
AT
S
CU

116. In a diffraction grating, the principal maxima are given by dsinθ=nλ. Here n is

(A) the order of principal maxima 019
2
(B) the number of wavelengths contained in the path difference between
adjacent slits S T
E
(C) slit width
(D) Both (A) and (B) T
N
O
SI
117. If I is the intensityIS
0 of unpolarized light falling on a plane polarizer, intensity of
M be
M
transmitted beam will
D
(A) I /2, A

unpolarized
(B) I N
0

O /2, plane polarized
0
(C)M I /4, plane polarized

O
0

M(D) I /2, elliptically polarized

E
0

CO
SA118.
C T
T In a CRO while we change the time base, we are actually changing
CU (A)
(B)
(C) T N
the frequency of the saw tooth voltage applied to the X-plate

A
the amplitude of a square wave voltage applied to the X-plate

19
gain of the wave form applied to the Y-plate

S IO 0
(D) the frequency of vertical amplitude
2
119.
U S ST
The Q-factor of a coil in a resonant circuit is the measure of its

(A)
C IS
selectivity T E
(B) retentivity
N
O
M
(C) self inductance
(D)
S
mutual inductanceI
IS
120.
D M
The proper life of pion (π +) is 2.5 x 10-8 s. A beam of pions traveling with a speed of

(A)
(B)
A 6.75 m
O
15.49 m
D
0.9c, in the laboratory frame, can travel a maximum distance of

N
A
(C) 7.50 m
M
(D) 17.10 m
M
C O
AT
S
CU

121. An electron microscope can see finer structures than other microscopes because

(A) electrons are very tiny particles. 019
(B) 2
the energy of the electrons is relatively low.
(C) T
the electrons have a relatively small de Broglie wavelength.
S
E
(D) the electrons have a relatively large de Broglie wavelength.
T
N
O
122. I
A spaceship moves towards you at 0.4c, where c is the speed of light. From the spaceship
S
IS
a red laser beam of perfect coherence is emitted in your direction. As measured in your
M
M
frame of reference, the speed of the laser beam emitted by the spaceship is
D
(A) 4/3cA

(B) c N
(C) O
2/3c
M
M
O
(D) 1/3c

SA T
CO
123.
C T E
In which of the following expressions, the force F is not conservative?

CU (A)
(B)
(C) T
∇ .F = 0

A N
∇ xF = 0
∮F. dl = 0
19
S IO 0
(D) F = -∇ V [V is some potential function]
2
124.
U S
In a fast breeder reactor,

(A)
C IS T E ST
heavy water is used as a moderator
(B)
N
graphite is used as a moderator
O
M
(C) no moderator is used
(D)
S I
beryllium is used as a moderator

IS
D M
A O
N
A
D

M
M
C O
AT
S
CU

125. Fermi-Dirac distribution at different temperatures is shown below. The temperatures T1 is at

019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N and T3 > T2 > T
(A) O0K
M
(B) 0K and T > T2 > T3

O
M 273K and T > T2 > T3
(C)

A T
CO
S 126.
(D)

C T E
273K and T3 > T2 > T

T
The relation between Fermi energy and electron density n is
CU (A)

A N
E F ∝ n3/ 2
19
S IO
2/ 3
(B) EF ∝ n
(C) EF ∝ n
1/ 2
2 0
U S
1/ 3
(D) EF ∝ n
ST
127.
C IS T E
If we double the temperature of an ideal gas, then average kinetic energy of its molecules
will be
O
N
(A)
Mhalf
IS
S I
D
(B) tripled
(C) four times
M
A D
(D) doubled
A
N
O
M
M
C O
AT
S
CU

128. To a pure intrinsic semiconductor with band gap of 2eV, 10 16 pentavalent impurities are

19
added. The impurity level is 0.8 eV below the bottom of the conduction band. The
0
2
electron concentration in the conduction band of the doped semiconductor at room
temperature will be
S T
E
T
16 3
(A) 10 /cm
(B) 1018/cm3
N
(C) zero O
(D) SI
almost the intrinsic charge density ni
IS
M
129. D
M
Maximum power from a source is transferred to a load when the load resistance is
A

N
______ the source resistance.
O
M
(A) greater than
M
O
(B) less than

SAT
CO (C) equal to

C T
(D) independent of
E
CU 130.
T N
When an ac power is applied to a reactive load, then the voltage is

A 19
S IO
(A) in phase with the current
(B)
(C) 2 0
90 degree out of phase with the current
180 degree out of phase with the current

131.
(D)

U
C IS S T E ST
270 degree out of phase with the current

In negative feedback amplifiers, only__________ remains constant.
N
O
M I
(A) gain
(B) bandwidth
S
IS
D
(C) gain- bandwidth product
(D) distortion
M
132.
A A
D
If the uncertainty in the location (position) of a particle is equal to its de Broglie
N
wavelength, the uncertainty in its velocity will be equal to
O
(A) twice its velocity M
(B) half its velocity
M
(C)
(D)
its velocity
None of the above C O
AT
S
CU

133. An operational amplifier can be considered as a nearly perfect _________ amplifier with
very large _________ value.
019
(A) integrator, gain 2
(B) differentiator, gain
S T
E
(C) noise resistant, gain
(D) differential, CMRR T
N
O
SI which an X-ray beam of wave length λ = 0.710 A° will be
134. The glancing angleSthrough
I
Min second order from the face (110) of a cubic crystal of rock salt with
M
reflected strongly
a = 2.828A° D
A

N
O
(A) 14°32
(B)M 07.21°
M
O
(C) 20°48

CO
E
(D) 24.80°

A T
C T
S 135. Hard ferromagnetic materials have
CU (A)
(B)
AT N
high coercitivity
high retentivity
19
S IO 0
(C) large hysteresis loop
(D) All of the above 2
136. U
C IS S E ST
More than one, linearly independent eigen functions of a quantum mechanical system are
T
found to belong to the same energy eigen value E. Such an energy eigen value E is said to
be N
O
(A)
M
orthogonal
IS
S I
D
(B) orthogonal and degenerate
(C) degenerate
M
A D
(D) non-degenerate
A
N d2 x
137. O
The differential equation m 2
dx
+r + Kx=0 ,describes the motion of a particle of mass
dt
dt
M
M
m in a resistive medium. Such a motion is

(A) simple harmonic motion O
(B) damped harmonic motionC
(C) undamped motion T
(D) forced oscillations A
S
C U

138. A ring of radius R, made up of non-conducting material is given a charge q uniformly

19
distributed all over its circumference. In the circular region of radius r at the centre of the
0
2
ring, a magnetic field B perpendicular to the plane of the ring varies at a constant rate
dB
S T
=β . Torque acting on the charged ring is
dt
E
T
(A) 1 2
qr β N
O
2
SI
(B) 1 2
2
qR β IS
M
(C) 1 qr 4
A
βD
M
2 R2
N
O
(D) Zero
M

S
139.

AT
M
COWhen O E
a slab of dielectric material is placed in an external electric field, which of the

C T
following statements is not correct?

CU
T
(A) All its atoms get polarised

N
(B) Polarization charge appears on its surfaces perpendicular to the field direction
(C)
(D)
A
S IO
9
The electric field gets modified inside the dielectric material
1
Gauss’s law cannot be applied to this situation for the polarization charge
2 0
140.

U
C IS S E ST
In order to account for relativistic variation of mass at high energies, the resonance
frequency in a synchrotron (synchrocyclotron) is adjusted by
T
(A)
N
adjusting the orbit radius
(B)
O
varying the magnetic field at the orbit
(C)
(D)
M IS
S
All of the above
I
modulating the frequency of dee voltage during the acceleration period

D M
A D
141. The displacement current in an electric circuit containing a capacitor is expressed as
A
(A) μo ε o
∂ɸ
N
O
∂t
(B) ε o
∂E
M
∂t
M
(C) ε o
∂ɸ
∂t
C O
(D) μo ε o
∂E
∂t AT
S
CU

019
2
S T
E
T
N
O
SI
IS
M
A
D
M
N
O
M

SAT
CO
M
O
C T E
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

142. A: A transformer cannot be used to step up or step down DC voltages

19
R: Only time varying magnetic flux linked with the circuit can cause Electromagnetic
0
induction
2
(A) A and R are both wrong S T
E
(B) A is wrong but R is correct
(C) T
A is correct and it follows from R
N
(D) O
A is correct but does not follow from R

S I
S
Islit
M experiment with helium-neon laser beam (wavelength 632 nm),
M
143. In Young’s double
D minimum will occur at a path difference of
the first interference
A

N nm
O
(A) 948
(B)M 316 nm
M
O
(C) 632 nm

CO
E
(D) 258 nm

A T
C T
S 144. Diffraction grating, astronomical telescope and microscope give us --------resolutions
CU
T
respectively

A N 19
S IO
(A) spatial, angular and spectral
(B)
(C)
spectral, angular and spatial
2
angular, spectral and spatial
0

145.
(D)

U
C IS S T E ST
spectral, spatial and angular

The voltage gain in a RC coupled two stage transistor amplifier
N
O
M I
(A) increases with frequency
(B)
S
remains constant over entire frequency range
IS
D
(C) remains constant in the intermediate frequency-range
(D)
M
decreases with frequency continuously

A O
N
A
D

M
M
C O
AT
S
CU

146. The kinetic energy (E) of a non relativistic proton equals the energy of a photon of wave

019
length λ1. If λ2 be the de Broglie wave length of the proton, then the ratio
λ2
is
2 λ1
proportional to
S T
E
(A) E
(B) √E
N
O
N
T

1 9
SI
(C)
√ 1 IS
M
M
E
1 A D
(D)

EN
O
M

SA
147. A

T
O
(A) ω = ω
O
Mdiatomic molecule Hcl has characteristic vibrational frequency. The hydrogen atom is

C T E
C now replaced by deuterium, the corresponding frequency is ω .Then D

T
D H

CU
N
(B) ω D >ω H

A
(C) ω H >ω D

S IO
(D) Can’t be determined
2 0 19

148. U
C IS S T E ST
If potential for a particle is ar2 where ‘a’ is a positive constant and ‘r’ is the distance of
the particle from the origin, then
N
O
M I
(A) all orbits are bounded
(B) S
the particle is a free particle
IS
D
(C) all orbits are circular
(D)
M
None of the above

149.
A A
D
A small bar magnet is allowed to fall freely through a seamless metal tube held vertical.
N
During fall its acceleration will be
O
(A) equal to g
M
(B) greater than g
M
(C)
(D)
less than g
zero
C O
AT
S
CU

150. Which of the following does not represent the equation
19
(A) Radioactive decay 2 0
T
(B) Discharging of a charged capacitor through a resistor
(C) Attenuation of radiation inSmatter
TELR circuit
(D) Growth of current in an
N
O
S I
IS
M
A
D
M
N
O
M

SAT
CO
M
O
C T E
CU
AT N 19
S IO 2 0
U
C IS S T E ST
N
O
M IS
S I
D M
A O
N
A
D

M
M
C O
AT
S
CU

PHYSICS PG 9 - ANSWER KEY
1
20 CODE: 613
TEST
QN. NO. KEY QN. NO. KEY QN. NO. T KEY QN. NO. KEY QN. NO. KEY
E S

1 C 26 C 51 T A 76 A 101 B
2 D 27 D N
O52 C 77 D 102 A

3 A 28 B I
S 53 B 78 D 103 A
4 D 29 B IS 54 B 79 C 104 D
M
5 C 30 B AD 55
M A 80 D 105 B

6 B 31 BN 56 B 81 C 106 B
O
7 C 32 MB 57 D 82 C 107 D
8
9
10
B
A
D
33
34 T
S
35A
CO
M C
D
C
O
C TE
58
59
60
D
A
D
83
84
85
A
B
D
108
109
110
A
B
B
11
12
B
A
U
C 36
37
D
D
AT N
61
62
D
D
86
87
19
A
B
111
112
A
A
13 C 38 C
S I O 63 B
2 0
88 C 113 D

U S
14 D 39 B 64 C 89 D 114 D
15 B 40 B 65 C ST 90 A 115 A
16
17
B
C
41
42 C IS
D
D
66
67
O
N
B
B
T E 91
92
C
B
116
117
D
B
18 A 43
M
C 68
IS
S I D 93 C 118 A

D
19 C 44 C 69 D 94 B 119 A
20 B 45 C 70M C 95 A 120 B
21
22
23
A
B
A
46
47
48
A B
B
A O
N
A
D
71
72
73
D
C
C
96
97
98
B
D
C
121
122
123
C
B
A
M
24 C 49 A 74
M B 99 C 124 C

CO
25 B 50 D 75 D 100 A 125 B

AT
S
CU

019
2
QN. NO. KEY
S T
TE
126 B
127 D N
O
128 D SI
129 C IS
M
130 B A
D
M
131 C N
O
132 C M
133
134
135
D
C
D SA
T
CO
M
O
C TE
136
137
C
B
CU
AT N 19
138 B
S I O 2 0
U S
139 D
140 C ST
141
142
C
C C IS O
N
T E
143 B
M IS
S I
D
144 B
145 C M
146
147
148
B
C
A
A O
N
A
D

M
149 C
M
CO
150 D

AT
S
CU