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Physics

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If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by

(a)   v2 = g(M/r)                                 ...

73. A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to

(a) 1/L2                                     ...

75. To keep constant time, watches are fitted with balance wheel made of

(a)  Invar                                                (b)   Stainless steel (c)   Tungsten                           ...

Four particles each of mass M, are located at the vertices of a square with side L. The gravitational potential due to this at the centre of the square is

Answer: a (30)

There are two planets. The ratio of radius of the two planets is K but ratio of acceleration due to gravity of both planets is g. What will be the ratio of their escape velocity

(a)     ( Kg )1/2                           (b) ( Kg...

76. A wire is stretched by 0.01 m by a certain force F. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be

(a)  0.005 m                                          (b)   0.01 m (c)   0.02 m                       ...

77. The possible value of Poisson’s ratio is

(a)  1                                     ...

The value of escape velocity on a certain planet is 2 km/s. Then the value of orbital speed for a satellite orbiting close to its surface is

(a)  12 km/s                             (b)  1 km/s (c) √2   km/s                           (d)   2√2   km/s Answer: c (8)

For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is

(a)   2                                      (b) 1/2 (c)   1/√2                             ...

70. Density of rubber is d. A thick rubber cord of length L and cross-section area A undergoes elongation under its own weight on suspending it. This elongation is proportional to

(a)    dL                                     ...

155. A solid cube of side l is made to oscillate about a horizontal axis passing through one of its edges. Its time period will be

Ans. a (44)

69. Two wires ‘A’ and ‘B’ of the same material have radii in the ratio 2 : 1 and lengths in the ratio 4 : 1. The ratio of the normal forces required to produce the same change in the lengths of these two wires is

(a)   1 : 1                                 ...

67. When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be

(a)       9.6 cm                                             (b)   4.8 cm (c)   1.2 cm                       ...

154. A disc of radius R is made to oscillate about a horizontal axis passing through its periphery. Its time period would be

(a)     2π√(3R/2g) (b)    2π√(2R/3g (c)     2π√(R/g) (d)     2π√(2R/g) Ans. a (79)

153. A metre scale is suspended vertically from a horizontal axis passing through one end of it. Its time period would be

(a)   1.64 sec (b)  2 sec (c)   2.5 sec (d)  3.2 sec Ans. a (83)

152. In the above problem the angular velocity of the cylinder, after the masses fall down through distance h, will be

(a)      1/R√{(8 mgh)/(M+4m)} (b)     1/R√{8 mgh/(M+m)} (c)      1/R√{mgh/(M+m)} (d)      1/R √{8 mgh/(M+2m)} Ans....

If the radius and acceleration due to gravity both are doubled, escape velocity of earth will become

(a)      11.2 km/s                         (b)  22.4 km/s (c)   5.6 km/s                           ...

If the radius of a planet is four times that of earth and the value of g is same for both, the escape velocity on the planet will be

(a)   11.2 km/s                                  (b)...

The velocity with which a projectile must be fired so that it escapes earth’s gravitation does not depend on

a)  Mass of the earth (b)  Mass of the projectile (c)   Radius of the projectile’s orbit (d)  Gravitational constant Answer:...

147. A mass M is supported by a mass less string would wound a uniform cylinder of mass M and radius R. On releasing the mass from rest, it will fall with acceleration

(a)    g (b)  g/2 (c)  g/3 (d) 2g/3 Ans. d (9)

59. Which of the following statements is correct

(a)  Hooke’s law is applicable only within elastic limit (b)  The adiabatic and isothermal elastic constants of a gas are...

If V, R and g denote respectively the escape velocity from the surface of the earth radius of the earth, and acceleration due to gravity, then the correct equation is

(a)    V=√gR                                   (b)  V=√ 4/3...

The escape velocity for a body projected vertically upwards from the surface of earth is 11 km/s. If the body is projected at an angle of 45o with the vertical, the escape velocity will be

(a)  ( 11/√2 )km/s                         (b) 11√2km/s (c)   22 km/s                            ...

63. A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

(a)   Different stresses and strains (b)  The same stress and strain (c)   The same strain but different stresses (d)  The...

62. Which one of the following quantities does not have the unit of force per unit area

(a)      Stress (b)    Strain (c)   Young’s modulus of elasticity (d)     Pressure Answer-b (5)

61. Which one of the following substances possesses the highest elasticity

(a)      Rubber                                      (b)  Glass (c)   Steel                             ...

Escape velocity on the surface of earth is 11.2 km/s . Escape velocity from a planet whose mass is the same as that of earth and radius 1/4 that of earth is

(a)  2.8 km/s                            (b)  15.6 km/s (c)   22.4 km/s                          (d)  44.8 km/s Answer: c (15)

65. A wire extends by 1 mm when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be

(a)   8                                     ...

Escape velocity on the earth

(a)  Is less than that on the moon (b)  Depends upon the mass of the body (c)   Depends upon the...

151. A uniform solid cylinder of mass M and radius R rotates about a frictionless horizontal axle. Two similar masses suspended with the help two ropes wrapped around the cylinder. If the system is released from rest then the acceleration of each mass will be

(a) 4mg/M+2m (b) 4mg/M+4m (c)  2mg/M+m (d) 2mg/M+2m Ans. b (28)

150. A cylinder of mass M and radius r is mounted on a frictionless axle over a well. A rope of negligible mass is wrapped around the cylinder and a bucket of mass m is suspended from the rope. The linear acceleration of the bucket will be

(a)  Mg/M+2m (b)  2Mg/m+2M (c)  Mg/2M+m (d) 2mg/M+2m Ans. d (119)

149. A massless string is wrapped round a disc of mass M and radius R. Another end is tied to a mass m which is initially at height h from ground level as shown in the fig. If the mass is released then its velocity while touching the ground level will be

(a)  √(2gh) (b)  √(2gh)M/m (c)  √(2ghm/M) (d) √(4mgh/2m+M) Ans. d (93)

148. A uniform disc of radius R and mass M can rotate on a smooth axis passing through its centre and perpendicular to its plane. A force F is applied on its rim. See fig. What is the tangential acceleration

(a) 2F/M (b) F/M (c)  F/2M (d) F/4M Ans. a (39)

The escape velocity of a rocket launched from the surface of the earth

(a)  Does not depend on the mass of the rocket (b)  Does not depend on the mass of the earth...

If acceleration due to gravity on the surface of a planet is two times that on surface of earth and its radius is double that of earth. Then escape velocity from the surface of that planet in comparison to earth will be

(a)  2 ve                                     (b)  3 ve (c)  4 ve                     ...

If the radius of a planet is R and its density is p , the escape velocity from its surface will be

(a)  ve ∝ pR                           (b) ve ∝√pR (c) ...

Escape velocity on earth is 11.2 km/s. What would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth

(a)  112 km/s                           (b)  11.2 km/s (c)   1.12 km/s                          (d)  3.7 km/s Answer: a (6)

57. A wire of length L and radius r is rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2r is stretched with a force of 2F, the increase in its length will be

(a)       l                                     ...

56. Liquids have no Poisson’s ratio, because

(a)  It has no definite shape (b)   It has greater volume (c)   It has lesser density than solid (d)   None...

The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be

Answer: c (3)

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