SECTION I (Thirty Five Questions)
Questions:1-39
Directions : Each of the questions or
incomplete statements in this section is
followed by four suggested
answers.Select the best answer in each
case
1. Two Cars are approaching towards
each other with speed 7.2 kmh−1
each,producing a sound of frequency
676 Hz. Calculate the beat frequency
heard by the driver of one Car.(Take
speed of sound to be 340 ms−1 )
A. 2 Hz
B. 4 Hz
C. 6 Hz
D. 8 Hz
2. Four string wave equations are given
below, which of these represent the
traveling wave
A. y=𝑒−𝑘𝑥 (t)
B. y = sin(15𝑡 − 8𝑥)
C. y = sin 15𝑥. cos 8𝑡
D. None of these
3. If the plates of capacitor are
oppositely charged then the total
charge is equal to:
A. Negative
B. Positive
C. Zero
D. Infinite
4. In which transition of electron in an
atom, wavelength of emitted radiation
will be minimum.
A. 3 to 1
B. 4 to 3
C. 3 to 2
D. 4 to 2
5. In Zener breakdone the depletion
layer is (large or small) doping is
(heavily or lightly)
A. large, heavily
B. large,lightly
C. small, heavy
D. small, lightly
6. A wire has an elongation of 0.04 m
when a force F is applied on it. Now its
length and diameter are doubled and
the same force F is applied , Find the
new extension of the wire.
A. 0.06 m
B. 0.04 m
C. 0.02 m
D. 0.01 m
7. A soft ferromagnetic substance is
kept in external magnetic field. then
A. its domain size increases
B. its domain size decreases
C. its domain size remain the same
D. None of the above
8. A conducting cylinder having radius
of 0.5mm,A potential difference of 10
mV is applied across its two ends. its
conductivity per unit length is 5×107 in
SI unit. The current through it is I=
𝑥3 𝜋 mA.Find x
A. 5
B. 10
C. 15
D. 20
9. Pressure inside a Container filled with
gas is generated because of
A. molecules stick to the wall
B. Violation of molecules
C. volume occupied by molecules
D. change in momentum of molecules
10. An electron is travelling at right
angles to a uniform magnetic field of
flux density 1.2 mT with a speed of 8 ×
106 ms−2 , the radius of circular path
followed by electron is
A. 3.8 cm
B. 3.7 cm
C. 3.6 cm
D. 3.5 cm
11. Capacitor is fully charged if potential
difference is equal to
A. e.m.f
B. Current
C. Resistance
D. power
12. The trolley moves horizontally
through a distance p and
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simultaneously raises the weight
through a height at q.
As a result,the weight moves through a
distance r from X to Y it starts and
finishes at rest.How much work is done
on the weight during this process?
A. Wp
B. Wr
C. W(p+q)
D. Wq
13. Proton and electron are moving
along circular path with same speed.
Find out ratio of debroglie wavelength
λ
that is λe . if the mp = 1836 me
16. In a YDSE experiment red light is
replaced by violet light. Then
A. Fringe width increases
B. intensity of minima increases
C. Central Maxima changes of minima
D. Fringes will come closes
17. The graph of V versus X in a SHM is
(V:velocity, X: displacement)
A.
B.
p
A. 1837
B. 1836
1
C.
1837
1
D. 1836
14. In a given AC series circuit
containing elements R, L and C & source
voltage = 220v, it is known that if L
alone is removed or if C alone is
removed, phase difference between
current and voltage remains 45⁰ Find
IRMS ? (R = 110 Ω)
A. 2 A
B. 2.5 A
C. 1 A
D. 1.5 A
15. A photon and α particle are
accelerated through the same potential
difference. Find ratio of their de broglie
wavelength
A. 1:2√2
B. 2√2:1
C. 4:1
D. 1:4
C.
D.
18. A RLC circuit is operating at
resonant frequency of 105 rad𝑠−1 .It
generate power of 16 W when 120 V
rms is applied. Find the resistance R in Ω
A. 300
B. 600
C. 900
D. 1200
19. Two bodies A and B have masses 1
kg and 2 Kg respectively, They have
equal momentum. Find the ratio of
their kinetic energy
A. 1:2
B. 2:1
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C. 1:1
D. 4:1
20. Time period of simple pendulum at
a planet is 2 sec. Length of simple
pendulum is 2 meter. Find the value of g
at that planet (in 𝑚𝑠−2 )
A. 2𝜋2
B. 9.8
C. 10
𝜋2
D. 2
21. A transmitter circuit is used for
transmission of EM waves having
wavelength 960 meter. If capacitor used
in circuit was of 2.56 μF, then the self
inductance of the inductor coil used in
the circuit such that resonance occurs,
is P × 10−8 . The value of P is
A. 100
B. 10
1
C. 100
1
D. 10
22. Match the following dimensions:
1. Kinetic energy
5. ML𝑇−1
2. Momentum
6. M𝐿2 𝑇−2
3. Plank Constant
7.M𝐿2 𝑇−2 𝐶−1
4. Electric potential
8. M𝐿2 𝑇−1
A.
B. 1 = 5 ; 2 = 6 ; 3 = 7 ; 4 = 8
C. 1 = 6 ; 2 = 5 ; 3 = 7 ; 3 = 8
D. 1 = 7 ; 2 = 5; 3 = 8; 3 = 6
23. Displacement equation of a particle
executing SHM is X = Asin( 𝑤𝑡 + 𝛷) .
𝐴
At t = 0, particle was at X = 2 and
moving towards the mean position. Find
𝛷
5𝜋
A. 6
B.
5𝜋
3
𝜋
C. 3
2𝜋
D. 3
24. In YDSE experiment separation
between plane of slits and screen is 1 m.
Separation between slits is 2 mm. The
wavelength of light is 500 nm. The
fringe width is
A. 0.25 mm
B. 0.2 mm
C. 0.30 mm
D. 0.40 mm
25. A particle is moving in circle with
uniform speed under the action of
central force F which is inversely
1
proportional to radius as F α𝑟3 .Period
of revolution is proportional to.
1
A. T α 𝑟3
B. T α 𝑟2
C. T α r
1
D. T α 𝑟1
26. 20 coulomb charge flows through
15 volt battery in a certain interval. Find
work done (in J) by the battery?
A. 250
B. 3000
C. 300
D. 299
27. An intrinsic semiconductor at
absolute zero:
A. Contains a large number of holes
B. behaves like a perfect insulator
C. behaves like a metallic conductor
D. Contains only a few free electrons
and holes.
28. Which one of the following provides
evidence for the existence of atomic
energy levels?
A. The photoelectric effect
B. Characteristic X-ray spectra
C. Matter waves
D. Alpha particle scattering
29. When distance from center of the
earth is doubled then electric field
strength will:
A. Decrease by the factor of four
B. Increase by factor of four
C. Will be same
D. Decrease by factor of two
30. The area under current-time graph
represents
A. Magnitude of charge
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B. Dielectric
C. Amount of positive charge
D. Amount of negative charge
31. The mean drift velocity of electron
in a copper wire having cross-sectional
area 5.0 × 10−6 m2 carrying current of
1 A and having number density
3
8.5 × 1028 m is
A. 0.015 mm s−1
B. 0.1 mm s−1
C. 0.5 mm s−1
D. 0.25 mm s−1
32. If a secondary coil has 40 turns, and,
a primary coil with 20 turns is charged
with 50V of potential difference, then
the potential difference in the
secondary coil would be?
A. 50 V in secondary coil
B. 25 V in secondary coil
C. 60 V in secondary coil
D. 100 V in secondary coil
33. The Ideal resistance of ammeter
is?.
A. 1 Ω
B. 2 Ω
C. 0 Ω
D. infinite
34. Two rod of thermal resistance R1
and R2 are connected as shown.
θ1 sand θ2 are given.
Find common Temperature of two
connecting rod
A.
B.
C.
D.
θ1 R2 −θ2 R1
R1 +R2
θ1 R2 −θ2 R1
R1 −R2
θ1 R2 +θ2 R1
R1 +R2
θ1 R1 +θ2 R2
35. Find dimensional formula of λ if
C
λ= V, Where C= capacitance,V= voltage
A. M3 L3 T7 A−3
B. M−2 L−2 T7 A3
C. M−3 L−3 T7 A3
D. M−1 L−2 T7 A−3
36. For given R-L-C circuit find out the
peak current and resonance frequency.
A. 2 A, 10Hz
B. 0.2 A, 5 Hz
C. 2 A, 5 Hz
D. 0.2 A, 10Hz
37. If output voltage is greater than
input voltage, then transformer is
A. step up
B. step down
C. faulty
D. fatal
38. Velocity of escape is equal to
A. r √2g; Where r: radius of Earth or
any other planet for that matter, g:
gravitational field strength
B. g √2g; Where r: radius of Earth or
any other planet for that matter, g:
gravitational field strength
C. √2g/r; Where r: radius of Earth or
any other planet for that matter, g:
gravitational field strength
D. √2gr; where r: radius of Earth or
any other planet for that matter, g:
gravitational field strength
39. The air filled soup bubbles A and B
in figure 4 1are formed on the ends of
the tube with the tab I closed
R1 +R2
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B
A
Figure 1
Figure 4
Now when the tap is opened
A. increases in diameter
B. The diameter of A and B will be
same
C. A and B will coalesce
D. B will increase in diameter
SECTION II ( Five Questions )
multiple selection
Questions 40-45
DIRECTIONS: for each question
below, either one or more of
responses is/ are correct. Decide
which of the responses is/are correct
then choose:
A If 1 and 2 are correct
B If 2 and 3 are correct
C If 1only is correct
D If 3 only is correct
Directives summerised
D
A
B
C
1 and
2 and
1 only 3 only
2
3
44. A glass material has a refractive
index 1.53 for violet light and 1.51 for
red light.
1. The speed of violet light in
such a glass is 1.96 × 108 ms−1
2. for each of these rays, total
internal reflection would occur
at any glass- air interface
whenever the angle incidence in
glass is 41.6°
3. The speed of red light in the
glass is 1.88 × 108 ms−1
45. A body is in the state of
40. Light of wave of wave length 450nm
is incident on the surface of a metal.
What is the maximum energy of the
emitted electrons if the work function is
3.2 × 10−19 J Is
1. 1.2 × 10−19 J
2. 3.2 × 10−19 J
3. 0. 𝟖 × 𝟏𝟎−𝟏𝟗 J
41. A car travelling at 30m/s collides
with a massive wall and stops initially. A
passenger of mass 50kg wearing a seat
belt is brought to rest in 0.3 s after the
collision
42. Which of the statements is/are
correct?
1. the impulse on the passenger is
1.5 × 103 N
2. the impulse on the passenger is
1.5 × 103 Ns
3. The force exerted on the passenger
by the seat belt is 1.5 × 103 N
43. In this circuit
E
,
C
B
Figure 1
1. the transistor is connected in the
common base mode
2. the transistor used is a p n p one
3. the collector is connected to the
input and the output circuits
weightlessness when
1. It is in free fall
2. It has no weight
3. It is moving in a circular orbit
SECTION III
Five Questions (46 – 50)
Direction: Each of the questions (46-50)
has four sets of graphs A-D. Which of
the graphs in each question best fits the
relationship between X and Y
46. Which of the graphs below best
represents the relation between the De
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Broglie wave length (Y of a particle and
the reciprocal (X) of its mass
B
A
0
47.
Y Figure 1
C
X0
X0
D
X0
X
A
x
48.
Y
The volume of a
fixed mass of a gas
X
C
X0
D
X0
X
Figure 2
D
C
0
0
Figure 3 X
49.
Y
B
X 0
0
X
Temperature
s in degree
Celsius
B
A
Displacement from
the equilibrium
position
The velocity of
an object
executing simple
harmonic motion
0
X
0
X
X
The height of
the object
above the
earth’s
surface
The potential
energy of an
object thrown
vertically upward
a short distance
above the
earth’s surface
50. Which of the following graphs best
represents the relationship between
the variations of the charges y stored
on the plates of a parallel plate
capacitor versus the potential
difference X across the plates?
A
0
C
B
A
X
0
X
0
C
B
D
D
X0
X
0
Figure 5
X
0
X
0
0
X
X
Figure 4
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