SECTION-I (PHYSICS)
Single Correct Type Questions Column-I Column-II
1. Four particles (A, B, C and D) each of mass m are A Q = +q, P Force on Q before
connected by four massless rods each of length . displaced being displaced is
All four particles lie on a smooth horizontal plane. along x-axis zero
A particle of mass m moving along the rod AB B Q = −q, Q Potential energy of
with a velocity v0 strikes the particle A and stops displaced the system before Q
(as shown in figure) Find the angular velocity of along x-axis being displaced is
each particle after collision. maximum
C Q = +q, R Potential energy of
displaced the system before Q
along y-axis being displaced is
minimum
D Q = −q, S The charge Q is in
v0 v0 displaced stable equilibrium
(1) (2) along y-axis
3 4
T Executes SHM
v0 v about O
(3) (4) 0
2 A B C D
(1) PRS P Q PRST
2. A ring consisting of two parts ADB and ACB of (2) PRST PQ PQ PRST
same thermal conductivity k carries an amount of (3) PRST PQR PST PRST
heat H. The ADB part is now replaced with (4) PRS QR PQ RST
another metal keeping the temperatures T1 and T2
constant. The heat carried increases to 2H. What 4. The slab of a material of refractive index 2 shown
should be the conductivity of the new ADB part? in figure has a curved surface APB of radius of
ACB curvature 10cm and a plane surface CD. On the
[Given = 3 ]. left of APB is air and on the right of CD is water
ADB
with refractive indices as given in figure. An
object O is placed at a distance of 15 cm from
pole P as shown. The distance of the final image
of O from P, as viewed from the left is
7
(1) k (2) 2k
3
5 (1) 20 cm (2) 30 cm
(3) k (4) 3k
2 (3) 40 cm (4) 50 cm
3. In the arrangement shown, identical charges, each 5. In a region, an electric field E = 15 N/C making
+q, are fixed at A and B respectively. O is the an angle of 30° with the horizontal plane is
midpoint of AB = 2l. A charge Q is placed at O and present. A ball having charge 2C, mass 3 kg and
can be displaced slightly either along x-axis or along coefficient of restitution with ground 1/2 is
y-axis and then released. Assume Q to move only projected at an angle of 30° with the horizontal in
along the axis along which it had been displaced. the direction of electric field with speed 20 m/s.
Now match the options in COLUMN-I to the The horizontal distance travelled by ball from first
information in COLUMN-II (regarding Q at O) drop to the second drop is x 3 m. Find the value
of x.
(1) 20 (2) 40
(3) 70 (4) 90
[2]
, 6. Two mutually perpendicular long conducting 10. The radiations emitted when an electron jumps
wires carrying currents I1 and I2 lie in one plane. from n = 3 to n = 2 orbit of a hydrogen like atom
Locus of the point at which magnetic induction is falls on a metal of work function ϕ = 16.14 eV to
produce photoelectrons. The electrons emitted
zero is
from the metal surface with maximum kinetic
(1) A parabola with vertex as the point of energy are made to move perpendicular to a
intersection of conductors. 1
(2) A rectangular hyperbola. magnetic field of strength T in a radius of
320
(3) A circle with center as the point of 10−3 m. What is the atomic number of hydrogen
intersection of the conductors. like atom.
(4) A straight line passing through the point of (1) Z = 3 (2) Z = 4
intersection of conductors. (3) Z = 2 (4) Z = 5
7. For an ideal gas undergoing the cyclic process 11. A solid sphere of mass M and radius R has density
K
ABCA as shown, select the correct option. varies with r as = , where r (r < R) is the
r
distance from centre of sphere and K is the constant
of proportionality with appropriate dimension. The
gravitational potential at the centre of sphere is
GM 2GM
(1) − (2) −
R R
2GM 3GM
(3) − (4) −
3R 2R
(1) Work done by the gas in process A to B is
negative 12. The figure shows a source of sound S at one end
of a thin tube and a detector D at the other end.
(2) Work done by the gas in the process B to C is
The frequency of the source can be varied
negative electronically. At which of the following
(3) Work done by the gas in the cycle is 20 J frequencies, the detector records maximum
(4) Work done on the gas in the cycle is 20 J intensity? (speed of sound is 340 m/s)
8. In the shown arrangement of ideal pulleys and
strings, 2 kg block is just about to slide. If
coefficient of friction between 2 kg block and
surface is µ = 4/7, then value of m1 is (1) 1000 Hz (2) 1500 Hz
(3) 3000 Hz (4) 4000 Hz
13. With the help of the arrangement shown in figure,
which of the following gates could be realized?
(1) 4 kg (2) 2 kg
(3) 1 kg (4) 3 kg
9. A wire of length 2 m is moving (perpendicular to
its length) at a speed 2 m/s keeping its length
(1) AND (2) OR
perpendicular to uniform magnetic field of 0.5 T
(3) NOR (4) NAND
which is also perpendicular to its velocity. The
resistance of circuit joined with wire is 6. The 14. An LC circuit contains a 20 mH inductor and a
rate at which work is being done to keep the wire 50 µF capacitor with an initial charge 10 mC. The
moving at constant speed is resistance of circuit is negligible. At this instant,
1 4 the circuit is closed at t = 0. At what time is the
(1) W (2) W energy stored in the circuit is completely
3 3 magnetic?
2 3 (1) t = 0 (2) t = 1.57 ms
(3) W (4) W
3 4 (3) t = 3.14 ms (4) t = 6.28 ms
[3]
Single Correct Type Questions Column-I Column-II
1. Four particles (A, B, C and D) each of mass m are A Q = +q, P Force on Q before
connected by four massless rods each of length . displaced being displaced is
All four particles lie on a smooth horizontal plane. along x-axis zero
A particle of mass m moving along the rod AB B Q = −q, Q Potential energy of
with a velocity v0 strikes the particle A and stops displaced the system before Q
(as shown in figure) Find the angular velocity of along x-axis being displaced is
each particle after collision. maximum
C Q = +q, R Potential energy of
displaced the system before Q
along y-axis being displaced is
minimum
D Q = −q, S The charge Q is in
v0 v0 displaced stable equilibrium
(1) (2) along y-axis
3 4
T Executes SHM
v0 v about O
(3) (4) 0
2 A B C D
(1) PRS P Q PRST
2. A ring consisting of two parts ADB and ACB of (2) PRST PQ PQ PRST
same thermal conductivity k carries an amount of (3) PRST PQR PST PRST
heat H. The ADB part is now replaced with (4) PRS QR PQ RST
another metal keeping the temperatures T1 and T2
constant. The heat carried increases to 2H. What 4. The slab of a material of refractive index 2 shown
should be the conductivity of the new ADB part? in figure has a curved surface APB of radius of
ACB curvature 10cm and a plane surface CD. On the
[Given = 3 ]. left of APB is air and on the right of CD is water
ADB
with refractive indices as given in figure. An
object O is placed at a distance of 15 cm from
pole P as shown. The distance of the final image
of O from P, as viewed from the left is
7
(1) k (2) 2k
3
5 (1) 20 cm (2) 30 cm
(3) k (4) 3k
2 (3) 40 cm (4) 50 cm
3. In the arrangement shown, identical charges, each 5. In a region, an electric field E = 15 N/C making
+q, are fixed at A and B respectively. O is the an angle of 30° with the horizontal plane is
midpoint of AB = 2l. A charge Q is placed at O and present. A ball having charge 2C, mass 3 kg and
can be displaced slightly either along x-axis or along coefficient of restitution with ground 1/2 is
y-axis and then released. Assume Q to move only projected at an angle of 30° with the horizontal in
along the axis along which it had been displaced. the direction of electric field with speed 20 m/s.
Now match the options in COLUMN-I to the The horizontal distance travelled by ball from first
information in COLUMN-II (regarding Q at O) drop to the second drop is x 3 m. Find the value
of x.
(1) 20 (2) 40
(3) 70 (4) 90
[2]
, 6. Two mutually perpendicular long conducting 10. The radiations emitted when an electron jumps
wires carrying currents I1 and I2 lie in one plane. from n = 3 to n = 2 orbit of a hydrogen like atom
Locus of the point at which magnetic induction is falls on a metal of work function ϕ = 16.14 eV to
produce photoelectrons. The electrons emitted
zero is
from the metal surface with maximum kinetic
(1) A parabola with vertex as the point of energy are made to move perpendicular to a
intersection of conductors. 1
(2) A rectangular hyperbola. magnetic field of strength T in a radius of
320
(3) A circle with center as the point of 10−3 m. What is the atomic number of hydrogen
intersection of the conductors. like atom.
(4) A straight line passing through the point of (1) Z = 3 (2) Z = 4
intersection of conductors. (3) Z = 2 (4) Z = 5
7. For an ideal gas undergoing the cyclic process 11. A solid sphere of mass M and radius R has density
K
ABCA as shown, select the correct option. varies with r as = , where r (r < R) is the
r
distance from centre of sphere and K is the constant
of proportionality with appropriate dimension. The
gravitational potential at the centre of sphere is
GM 2GM
(1) − (2) −
R R
2GM 3GM
(3) − (4) −
3R 2R
(1) Work done by the gas in process A to B is
negative 12. The figure shows a source of sound S at one end
of a thin tube and a detector D at the other end.
(2) Work done by the gas in the process B to C is
The frequency of the source can be varied
negative electronically. At which of the following
(3) Work done by the gas in the cycle is 20 J frequencies, the detector records maximum
(4) Work done on the gas in the cycle is 20 J intensity? (speed of sound is 340 m/s)
8. In the shown arrangement of ideal pulleys and
strings, 2 kg block is just about to slide. If
coefficient of friction between 2 kg block and
surface is µ = 4/7, then value of m1 is (1) 1000 Hz (2) 1500 Hz
(3) 3000 Hz (4) 4000 Hz
13. With the help of the arrangement shown in figure,
which of the following gates could be realized?
(1) 4 kg (2) 2 kg
(3) 1 kg (4) 3 kg
9. A wire of length 2 m is moving (perpendicular to
its length) at a speed 2 m/s keeping its length
(1) AND (2) OR
perpendicular to uniform magnetic field of 0.5 T
(3) NOR (4) NAND
which is also perpendicular to its velocity. The
resistance of circuit joined with wire is 6. The 14. An LC circuit contains a 20 mH inductor and a
rate at which work is being done to keep the wire 50 µF capacitor with an initial charge 10 mC. The
moving at constant speed is resistance of circuit is negligible. At this instant,
1 4 the circuit is closed at t = 0. At what time is the
(1) W (2) W energy stored in the circuit is completely
3 3 magnetic?
2 3 (1) t = 0 (2) t = 1.57 ms
(3) W (4) W
3 4 (3) t = 3.14 ms (4) t = 6.28 ms
[3]
