AL/2023/01/E-I -1-
[KOg;gjpg;GupikAilaJ/ All Rights Reserved]
Instructions:
❖ This paper contains 50 questions in 12 pages.
❖ Answer all the questions.
❖ Write your Index Number in the answer sheet.
❖ In each of the following questions from 1 to 50, pick one of the alternatives from (1), (2), (3), (4),
(5) which is correct or most appropriate and mark your response on the answer sheet with a
cross (X) in accordance with the instructions given on the answer sheet.
Use of calculators is not allowed.
(Consider that the acceleration due to gravity, g = 10 m s-2)
01. Four different physical quantities P, Q, R and S are related by the following equation.
Q2 + R
P=
S
Which of the following physical quantity / quantities is / are dimensionless?
Q PS R
(A) (B) (C)
R Q PS
(1) (A) only (2) (B) only (3) (C) only (4) (A), (C) only (5) (B), (C)only
02. In a Vernier caliper, 1cm length is divided into 20 equal divisions of main scale. 50 equal divisions of
Vernier scale coincide with 49 divisions of main scale. What is the least count of this instrument?
(1) 0.005mm (2) 0.01mm (3) 0.02mm (4) 0.2mm (5) 0.1mm
03. An unstable nucleus decays by performing − emission. Which of the following equation correctly
explains the change occurred in the fundamental particles during this decay?
(1) d quark u quark+ electron + electron neutrino (ve)
(2) u quark; d quark+ electron + electron neutrino ( ve )
(3) d quark u quark; + electron + electron anti-neutrino ( v e )
(4) u quark d quark+ electron + electron anti-neutrino ( v e )
(5) u quark d quark+ positron + electron neutrino( ve )
04. A black body at temperature T K is emitting energy at a rate of P W. The rate at which it emits energy
at temperature 2T K is,
(1) P W (2) 2P W (3) 4P W (4) 8P W (5) 16P W
[See Page 02
,AL/2023/01/E-I -2-
a
05. When two tuning forks A and B are sounded separately, the
variations of the displacement (a) of an air molecule with 0 t/s
time (t) due to the sound waves generated in air are
a
illustrated in the nearby graphs. What is the beat frequency
formed when both tuning forks are sounded together? t/s
0 0.25
(1) 16Hz (2) 15Hz (3) 14Hz (4) 12Hz (5) 3Hz
06. Several +q charges are embedded in a long insulator sheet as shown, so that the distance between
adjacent charges is x. If the sheet is moved towards right with a constant velocity V as shown, what is
the electric current along the sheet?
q q q q q q q q q q q q q q q
V
qV 2 qV qV q 2V 2
(1) (2) (3) ( 4) (5) qV
x x2 x x
07. Which of the following is denoted by the direction of arrow present in the symbol of npn transistor?
(1) Collector current generated by the holes.
(2) Emitter current generated by the free electrons.
(3) Emitter current generated by the holes.
(4) Base current generated by the free electrons.
(5) Collector current generated by the free electrons.
08. A hole of area 1m2 is drilled on a metal plate having surface area of 5m2. If the linear expansivity of
the metal is 1x10-5 0C-1, what is the new area of the hole when the temperature of the plate is raised by
800C?
(1) 1.0008m2 (2) 0.9920m2 (3) 0.9984m2 (4) 1.0016m2 (5) 1.0004m2
09. In the final match of last world cup, the sound intensity level of applause raised when Virat Kohli
caught the ball was announced to be 127dB. If the threshold intensity of hearing for that particular
sound is I=10-12Wm-2, what is the sound intensity corresponding to the applause?
(1) 107 Wm −2 (2) 10Wm −2 (3) 100.7 Wm −2 (4) 1.7Wm −2 (5) 0.7Wm −2
10. Which of the following statements regarding to the particle undergoing simple harmonic motion is
false?
(1) It has maximum kinetic energy at the oscillating center.
(2) Magnitude of its acceleration is directly proportional to the displacement.
(3) The relationship between kinetic energy and potential energy is linear.
(4) It has maximum acceleration at the oscillating center.
(5) It travels to a distance which is four times of its amplitude in a time period equal to the period of
oscillation.
[See Page 03
,AL/2023/01/E-I -3-
11. The focal length of objective of an astronomical telescope is 100 times of the focal length of eye piece.
At normal adjustment, how many times the separation between two lenses is that of the focal length of
eye piece?
(1) 9 times (2) 99 times (3) 101 times (4) 109 times (5) 110 times
12. A metal sphere of mass 50g is slowly released in a deep, viscous, stationary liquid. In the subsequent
motion, the viscous force acting on the sphere is 0.16N when the velocity of the sphere is 0.04ms-1. If
the up thrust given to the sphere by the liquid is 0.02N, The terminal velocity attained by the sphere is,
(1) 0.04ms-1 (2) 0.05ms-1 (3) 0.08ms-1 (4) 0.12ms-1 (5) 0.26ms-1
p q r
13. pq, qr are two conductors with equal cross-sectional
area which have respective lengths of l, 2l and x
resistivities of ρ, 2ρ respectively. The circuit is
constructed by joining the conductors end to end and connecting them with a cell having constant
electromotive force. Which of the following graphs best represents the variation of electric field
intensity (E) from p to r with the distance (x)?
E E E E E
p q q r p q r
q r
r p p
p q r
x x x x x
(1) (2) (3) (4) (5)
14. Which of the following data related with the usual notations of an n – channel junction field effect
transistor (JFET) which is operating as an amplifier is correct?
VGS VDS VDD ID
(1) + _ _ D S
(2) _ + + D S
(3) _ _
+ S D
(4) + _ S D
+
(5) _ _ D S
+
15. An incident ray from point O refracts on the lens having PQ as the principal axis, and passes through
the point I. While keeping PQ as the principal axis, lens is now brought to point X. The point through
which the refracted ray passes,
A
B C D
P Q
O X I
l E
2l 2l
(1) A (2) B (3) C (4) D (5) E
[See Page 04
, AL/2023/01/E-I -4-
16. The potential energy loss of a particle in the first second, which is released from a particular height,
is 20J. What are the possible losses of potential energy of this particle in 2nd and 3rd seconds
respectively? (Neglect air resistance)
(1) 40J , 60J (2) 60J , 100J (3) 30J , 50J (4) 40J , 80J (5) 30J , 90J
17. The nearby figure shows the diffraction of wave fronts when a wave is passing
through an aperture. Which of the following procedures would increase the
diffraction of this wave?
(A) Increasing the diameter of the aperture without changing the wavelength.
(B) Increasing the wavelength of the wave without changing the diameter of the aperture.
(C) Moving the source generating wave towards the aperture at a constant velocity.
Which of the above is/are true?
(1) (A) only (2) (B)only (3) (C)only (4) (A),(C) only (5) (B),(C) only
18. Figure – 1 shows that a part of a circular ring of radius r which is made of
uniform wire has been removed and a point mass m is placed at its center. r
The gravitational force exerted on the mass by the ring at this instance is F0. m
In addition to figure – 1, another circular arc of radius 2r which is also made
of the same wire is placed as shown in the figure – 2. If both ring and arc lie Figure - 1
on the same plane, what is the resultant gravitational force exerted on the
r
mass m by both ring and arc? r
3 3 1 m
(1) F0 (2) F0 (3) F0
2 4 2
1 Figure - 2
(4) F0 (5) zero
4
19. As shown in the figure, air having density ρ is flowing from X Y
point X to Y according to Bernoulli’s principle. The
V1 V2
respective cross-sectional areas of the tube at points X, Y are P1 ρ P2
A1, A2, and the velocities of air at points X, Y are V1 and V2
A2
P1 − P2 A1
respectively. If A1 = 5A2 and = 12 Nmkg−1 , the
speed V2 is,
(1) 1ms-1 (2) 4ms-1 (3) 5ms-1 (4) 10ms-1 (5) 20ms-1
20. 12 capacitors each of capacitance C are
A
connected together as shown. The resultant
capacitance between points A and B is? B
(1) 0.5C (2) 0.75C (3) 1.5C (4) 6C (5) 12C
[See Page 05
[KOg;gjpg;GupikAilaJ/ All Rights Reserved]
Instructions:
❖ This paper contains 50 questions in 12 pages.
❖ Answer all the questions.
❖ Write your Index Number in the answer sheet.
❖ In each of the following questions from 1 to 50, pick one of the alternatives from (1), (2), (3), (4),
(5) which is correct or most appropriate and mark your response on the answer sheet with a
cross (X) in accordance with the instructions given on the answer sheet.
Use of calculators is not allowed.
(Consider that the acceleration due to gravity, g = 10 m s-2)
01. Four different physical quantities P, Q, R and S are related by the following equation.
Q2 + R
P=
S
Which of the following physical quantity / quantities is / are dimensionless?
Q PS R
(A) (B) (C)
R Q PS
(1) (A) only (2) (B) only (3) (C) only (4) (A), (C) only (5) (B), (C)only
02. In a Vernier caliper, 1cm length is divided into 20 equal divisions of main scale. 50 equal divisions of
Vernier scale coincide with 49 divisions of main scale. What is the least count of this instrument?
(1) 0.005mm (2) 0.01mm (3) 0.02mm (4) 0.2mm (5) 0.1mm
03. An unstable nucleus decays by performing − emission. Which of the following equation correctly
explains the change occurred in the fundamental particles during this decay?
(1) d quark u quark+ electron + electron neutrino (ve)
(2) u quark; d quark+ electron + electron neutrino ( ve )
(3) d quark u quark; + electron + electron anti-neutrino ( v e )
(4) u quark d quark+ electron + electron anti-neutrino ( v e )
(5) u quark d quark+ positron + electron neutrino( ve )
04. A black body at temperature T K is emitting energy at a rate of P W. The rate at which it emits energy
at temperature 2T K is,
(1) P W (2) 2P W (3) 4P W (4) 8P W (5) 16P W
[See Page 02
,AL/2023/01/E-I -2-
a
05. When two tuning forks A and B are sounded separately, the
variations of the displacement (a) of an air molecule with 0 t/s
time (t) due to the sound waves generated in air are
a
illustrated in the nearby graphs. What is the beat frequency
formed when both tuning forks are sounded together? t/s
0 0.25
(1) 16Hz (2) 15Hz (3) 14Hz (4) 12Hz (5) 3Hz
06. Several +q charges are embedded in a long insulator sheet as shown, so that the distance between
adjacent charges is x. If the sheet is moved towards right with a constant velocity V as shown, what is
the electric current along the sheet?
q q q q q q q q q q q q q q q
V
qV 2 qV qV q 2V 2
(1) (2) (3) ( 4) (5) qV
x x2 x x
07. Which of the following is denoted by the direction of arrow present in the symbol of npn transistor?
(1) Collector current generated by the holes.
(2) Emitter current generated by the free electrons.
(3) Emitter current generated by the holes.
(4) Base current generated by the free electrons.
(5) Collector current generated by the free electrons.
08. A hole of area 1m2 is drilled on a metal plate having surface area of 5m2. If the linear expansivity of
the metal is 1x10-5 0C-1, what is the new area of the hole when the temperature of the plate is raised by
800C?
(1) 1.0008m2 (2) 0.9920m2 (3) 0.9984m2 (4) 1.0016m2 (5) 1.0004m2
09. In the final match of last world cup, the sound intensity level of applause raised when Virat Kohli
caught the ball was announced to be 127dB. If the threshold intensity of hearing for that particular
sound is I=10-12Wm-2, what is the sound intensity corresponding to the applause?
(1) 107 Wm −2 (2) 10Wm −2 (3) 100.7 Wm −2 (4) 1.7Wm −2 (5) 0.7Wm −2
10. Which of the following statements regarding to the particle undergoing simple harmonic motion is
false?
(1) It has maximum kinetic energy at the oscillating center.
(2) Magnitude of its acceleration is directly proportional to the displacement.
(3) The relationship between kinetic energy and potential energy is linear.
(4) It has maximum acceleration at the oscillating center.
(5) It travels to a distance which is four times of its amplitude in a time period equal to the period of
oscillation.
[See Page 03
,AL/2023/01/E-I -3-
11. The focal length of objective of an astronomical telescope is 100 times of the focal length of eye piece.
At normal adjustment, how many times the separation between two lenses is that of the focal length of
eye piece?
(1) 9 times (2) 99 times (3) 101 times (4) 109 times (5) 110 times
12. A metal sphere of mass 50g is slowly released in a deep, viscous, stationary liquid. In the subsequent
motion, the viscous force acting on the sphere is 0.16N when the velocity of the sphere is 0.04ms-1. If
the up thrust given to the sphere by the liquid is 0.02N, The terminal velocity attained by the sphere is,
(1) 0.04ms-1 (2) 0.05ms-1 (3) 0.08ms-1 (4) 0.12ms-1 (5) 0.26ms-1
p q r
13. pq, qr are two conductors with equal cross-sectional
area which have respective lengths of l, 2l and x
resistivities of ρ, 2ρ respectively. The circuit is
constructed by joining the conductors end to end and connecting them with a cell having constant
electromotive force. Which of the following graphs best represents the variation of electric field
intensity (E) from p to r with the distance (x)?
E E E E E
p q q r p q r
q r
r p p
p q r
x x x x x
(1) (2) (3) (4) (5)
14. Which of the following data related with the usual notations of an n – channel junction field effect
transistor (JFET) which is operating as an amplifier is correct?
VGS VDS VDD ID
(1) + _ _ D S
(2) _ + + D S
(3) _ _
+ S D
(4) + _ S D
+
(5) _ _ D S
+
15. An incident ray from point O refracts on the lens having PQ as the principal axis, and passes through
the point I. While keeping PQ as the principal axis, lens is now brought to point X. The point through
which the refracted ray passes,
A
B C D
P Q
O X I
l E
2l 2l
(1) A (2) B (3) C (4) D (5) E
[See Page 04
, AL/2023/01/E-I -4-
16. The potential energy loss of a particle in the first second, which is released from a particular height,
is 20J. What are the possible losses of potential energy of this particle in 2nd and 3rd seconds
respectively? (Neglect air resistance)
(1) 40J , 60J (2) 60J , 100J (3) 30J , 50J (4) 40J , 80J (5) 30J , 90J
17. The nearby figure shows the diffraction of wave fronts when a wave is passing
through an aperture. Which of the following procedures would increase the
diffraction of this wave?
(A) Increasing the diameter of the aperture without changing the wavelength.
(B) Increasing the wavelength of the wave without changing the diameter of the aperture.
(C) Moving the source generating wave towards the aperture at a constant velocity.
Which of the above is/are true?
(1) (A) only (2) (B)only (3) (C)only (4) (A),(C) only (5) (B),(C) only
18. Figure – 1 shows that a part of a circular ring of radius r which is made of
uniform wire has been removed and a point mass m is placed at its center. r
The gravitational force exerted on the mass by the ring at this instance is F0. m
In addition to figure – 1, another circular arc of radius 2r which is also made
of the same wire is placed as shown in the figure – 2. If both ring and arc lie Figure - 1
on the same plane, what is the resultant gravitational force exerted on the
r
mass m by both ring and arc? r
3 3 1 m
(1) F0 (2) F0 (3) F0
2 4 2
1 Figure - 2
(4) F0 (5) zero
4
19. As shown in the figure, air having density ρ is flowing from X Y
point X to Y according to Bernoulli’s principle. The
V1 V2
respective cross-sectional areas of the tube at points X, Y are P1 ρ P2
A1, A2, and the velocities of air at points X, Y are V1 and V2
A2
P1 − P2 A1
respectively. If A1 = 5A2 and = 12 Nmkg−1 , the
speed V2 is,
(1) 1ms-1 (2) 4ms-1 (3) 5ms-1 (4) 10ms-1 (5) 20ms-1
20. 12 capacitors each of capacitance C are
A
connected together as shown. The resultant
capacitance between points A and B is? B
(1) 0.5C (2) 0.75C (3) 1.5C (4) 6C (5) 12C
[See Page 05
