1. A planet in a distant solar system is 10 times
more massive than the earth and its radius is 10 times smaller. Given that the
escape velocity from the earth is 11 kms−1, the escape velocity from the
surface of the planet would be
(a) 1.1 kms−1
(b) 11 kms−1
(c) 110 kms−1
(d) 0.11 kms−1
2. The dimension of magnetic field in M, L, T and C (Coulomb) is given as
(a) MLT−1C−1
(b) MT2C−2
(c) MT−1C−1
(d) MT−2C−1
3. Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
(a) 4/6 ma2
(b) 3/4 ma2
(c) 2/3 ma2
(d) 1/5 ma2
4. A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as
(a) 17.6 kg ms−1
(b) 17.565 kg ms−1
(c) 17.56 kg ms−1
(d) 17.57 kg ms−1
5. A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
(a) 0.16 J
(b) 1.00 J
(c) 0.67 J
(d) 0.34 J
6. An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distance are measured by
(a) a vernier scale provided on the microscope
(b) a standard laboratory scale
(c) a meter scale provided on the microscope
(d) a screw gauage provided on the microscope
7. Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of − 0.03 mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
(a) 3.32 mm
(b) 3.73 mm
(c) 3.67 mm
(d) 3.38 mm
8. A bomb of mass 16 kg at rest explodes into two pieces of masses of 4 kg and 12 kg. The velocity of the 12 kg mass is 4 ms−1. The kinetic energy of the other mass is
(a) 96 J
(b) 144 J
(c) 288 J
(d) 192 J
9. A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. the work done by the force of gravity during the time the particle goes up is
(a) 0.5 J
(b) −0.5 J
(c) −1.25 J
(d) 1.25 J
10. A electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience
(a) a torque only
(b) a translational force only in the direction of the field
(c) a translational force only in a direction normal o the direction of the field
(d) a torque as well as a translational force
11. Needles N1, N2 and N3 are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will
(a) attract all three of them
(b) attract N1 and N2 strongly but repel N3
(c) attract N1 strongly, N2 weakly and repel N3 weakly
(d) attract N1 strongly, but repel N2 and N3 weakly
12. A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1 s, the force of the blow exerted by the ball on the hand of the player is equal to
(a) 300 N
(b) 150 N
(c) 3 N
(d) 30 N
13. A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m which applying the force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/s2
(a) 22 N
(b) 4 N
(c) 16 N
(d) 20 N
14. The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is
(a) 100 s
(b) 0.01 s
(c) 10 s
(d) 0.1 s
15. A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is
(a) 10.5 Hz
(b) 105 Hz
(c) 1.05 Hz
(d) 1050 Hz
(a) 1.1 kms−1
(b) 11 kms−1
(c) 110 kms−1
(d) 0.11 kms−1
2. The dimension of magnetic field in M, L, T and C (Coulomb) is given as
(a) MLT−1C−1
(b) MT2C−2
(c) MT−1C−1
(d) MT−2C−1
3. Consider a uniform square plate of side ‘a’ and mass ‘m’. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
(a) 4/6 ma2
(b) 3/4 ma2
(c) 2/3 ma2
(d) 1/5 ma2
4. A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recorded as
(a) 17.6 kg ms−1
(b) 17.565 kg ms−1
(c) 17.56 kg ms−1
(d) 17.57 kg ms−1
5. A block of mass 0.50 kg is moving with a speed of 2.00 m/s on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
(a) 0.16 J
(b) 1.00 J
(c) 0.67 J
(d) 0.34 J
6. An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distance are measured by
(a) a vernier scale provided on the microscope
(b) a standard laboratory scale
(c) a meter scale provided on the microscope
(d) a screw gauage provided on the microscope
7. Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of − 0.03 mm while measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is
(a) 3.32 mm
(b) 3.73 mm
(c) 3.67 mm
(d) 3.38 mm
8. A bomb of mass 16 kg at rest explodes into two pieces of masses of 4 kg and 12 kg. The velocity of the 12 kg mass is 4 ms−1. The kinetic energy of the other mass is
(a) 96 J
(b) 144 J
(c) 288 J
(d) 192 J
9. A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. the work done by the force of gravity during the time the particle goes up is
(a) 0.5 J
(b) −0.5 J
(c) −1.25 J
(d) 1.25 J
10. A electric dipole is placed at an angle of 30° to a non-uniform electric field. The dipole will experience
(a) a torque only
(b) a translational force only in the direction of the field
(c) a translational force only in a direction normal o the direction of the field
(d) a torque as well as a translational force
11. Needles N1, N2 and N3 are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will
(a) attract all three of them
(b) attract N1 and N2 strongly but repel N3
(c) attract N1 strongly, N2 weakly and repel N3 weakly
(d) attract N1 strongly, but repel N2 and N3 weakly
12. A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1 s, the force of the blow exerted by the ball on the hand of the player is equal to
(a) 300 N
(b) 150 N
(c) 3 N
(d) 30 N
13. A ball of mass 0.2 kg is thrown vertically upwards by applying a force by hand. If the hand moves 0.2 m which applying the force and the ball goes upto 2 m height further, find the magnitude of the force. Consider g = 10 m/s2
(a) 22 N
(b) 4 N
(c) 16 N
(d) 20 N
14. The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of oscillation is
(a) 100 s
(b) 0.01 s
(c) 10 s
(d) 0.1 s
15. A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this string is
(a) 10.5 Hz
(b) 105 Hz
(c) 1.05 Hz
(d) 1050 Hz
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