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Physics

HomePhysicsPage 35

For the moon to cease to remain the earth’s satellite, its orbital velocity has to increase by a factor of

(a)      2               (b)     √ 2 (c)    1/√2         (d)  √3 Answer: ...

139. A ring, a solid sphere, a disc and a solid cylinder of same radii roll down an inclined plane, which would reach the bottom in the last

(a) Ring (b) Disc (c)  Solid sphere (d)  Solid cylinder Ans. a (51)

The escape velocity of a particle of mass m varies as

(a) m2                    (b)  m (c)  m0           ...

The escape velocity of a projectile from the earth is approximately

(a)      11.2 m/sec                      (b)  112 km/sec (c)   11.2 km/sec                      (d)  11200 km/sec Answer:  c (10)

137. A solid cylinder (i) rolls down (ii) slides down an inclined plane. The ratio of the accelerations in these conditions is

(a)        3 : 2 (b)        2 : 3 (c)       √3:√2 (d)      √2:√3...

133. From an inclined plane a sphere, a disc, a ring and a shell are rolled without slipping. The order of their reaching at the base will be

(a)           Ring, shell, disc, sphere (b)          Shell, sphere, disc, ring (c)           Sphere, disc, shell, ring (d)          Ring, sphere, disc, shell...

131. A solid sphere, a solid cylinder, a disc and a ring are rolling down an inclined plane. Which of these bodies will reach the bottom simultaneously

(a)           Solid sphere and solid cylinder (b)           Solid cylinder and disc (c)          ...

The escape velocity of a sphere of mass m from earth having mass M and radius R is given by

Answer: a (14)

129. A body starts rolling down an inclined plane of length L and height h. This body reaches the bottom of the plane in time t. The relation between L and t is 

(a)     t∝L (b)     t∝1/L (c)     t∝L2 (d)     t∝1/L2 Ans. a (39)

Gas escapes from the surface of a planet because it acquires an escape velocity. The escape velocity will depend on which of the following factors : I. Mass of the planet II. Mass of the particle escaping III. Temperature of the planet IV. Radius of the planet Select the correct answer from the codes given below :

(a)      I and II                                       (b)  II and IV (c)   I and IV                 ...

A particle falls towards earth from infinity. It’s velocity on reaching the earth would be

(a)  Infinity                               (b) √2 gR (c)   2√gR                         ...

123. The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height h, from rest without sliding, is

(a)  √(10/7 gh) (b)  √(gh) (c)   √(6/5 gh) (d) √(4/3 gh) Ans. a (8)

A body is projected vertically upwards from the surface of a planet of radius R with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is

(a)  R/3                                     (b)  R/2 (c)   R/4                                     (d)  R/5 Answer: a (6)

122. A hollow cylinder and a solid cylinder having the same mass and same diameter are released from rest simultaneously from the top of an inclined plane. Which will reach the bottom first

(a)   The solid cylinder (b)  The hollow cylinder (c)   Both will reach the bottom together (d)  The greater density Ans....

In some region, the gravitational field is zero. The gravitational potential in this region

(a)  Must be variable               (b)  Must be constant (c)   Cannot be zero                  (d)  Must be zero Answer: b (11)

126. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The speed of its centre of mass when it reaches the bottom is

(a)    √(2gh) (b)    √(4/3 gh) (c)   √(3/4 gh) (d)   √(4g/h) Ans. b (4)

Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to

(a)    1/R                                  (b) ...

The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is

(a)  mgR/2                               (b)  2 mgR (c)   mgR                                    (d)  mgR/4 Answer:  c (5)

124. A solid cylinder rolls down an inclined plane from a height h. At any moment the ratio of rotational kinetic energy to the total kinetic energy would be

(a)      1 : 2 (b)     1 : 3 (c)     2 : 3 (d)    1 :...

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

(a)  GMm/ 12R2                  (b) GMm/ 3R2 (c)  GMm / 8R    ...

121. A solid sphere (mass 2 M) and a thin hollow spherical shell (mass M) both of the same size, roll down an inclined plane, then

(a)  Solid sphere will reach the bottom first (b)  Hollow spherical shell will reach the bottom first (c)   Both will...

119. Part of the tuning arrangement of a radio consists of a wheel which is acted on by two parallel constant forces as shown in the fig. If the wheel rotates just once, the work done will be about (diameter of the wheel = 0.05m)

  (a)  0.062 J (b)  0.031 J (c)   0.015 J (d)  0.057 J Ans. b (42)

120. A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

(a)  Solid sphere (b)  hollow sphere (c)   Ring (d)  All same Ans. d (24)

A body of mass m is placed on the earth’s surface. It is taken from the earth’s surface to a height h=3R . The change in gravitational potential energy of the body is

(a)    2/3 mgR                (b) 3/4 mgR (c)    mgR/2       ...

Escape velocity of a body of 1 kg mass on a planet is 100 m/sec. Gravitational Potential energy of the body at the Planet is

(a)  – 5000 J                             (b)  – 1000 J (c)   – 2400 J                             (d)  5000 J Answer: A (6)

The gravitational potential energy of a body of mass ‘m’ at the earth’s surface  -mgRe  . Its gravitational potential energy at a height  Re from the earth’s surface will be (Here  is Re the radius of the earth)

(a)    -2 mgR e                         (b) 2 mgR e (c)   ...

What is the intensity of gravitational field of the centre of a spherical shell

(a)     Gm/R2                                   ...

There are two bodies of masses 100 kg and 10000 kg separated by a distance 1 m. At what distance from the smaller body, the intensity of gravitational field will be zero

(a)    1/9 m                          (b) 1/10 m (c) ...

A rocket is launched with velocity 10 km/s. If radius of earth is R, then maximum height attained by it will be

(a)      2R                                  (b)   ...

If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be

(a)      √GM/2R                      (b)  GM/R (c)   2√GM/R       ...

The masses and radii of the earth and moon are  M1,R1 and M2,R2  respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass m should be projected from a point midway between their centres so that it escapes to infinity is

answer-a (9)

The change in potential energy, when a body of mass m is raised to a height nR from the earth’s surface is (R = Radius of earth)

(a)   mgR n/n-1                                   (b) ...

The mass of the earth is  6.00 × 10^24 kg  and that of the moon is 7.40 × 10^22 kg  . The constant of gravitation G=6.67 × 10^-11 N-M^2/kg^2. The potential energy of the system is -7.79 × 10^28 joules  . The mean distance between the earth and moon is

(a)     3.80×108 metres                     (b) 3.37 ×106 metres (c)   7.60×104  metres   ...

117. A uniform thin rod of length l is suspended from one of its ends and is rotated at f rotations per second. The rotational kinetic energy of the rod will be

(a)   2/3π2f2ml2 (b)   4/3 f2ml2 (c)    4π2f2ml2 (d)   Zero Ans. a (20)

116. If L, M and P are the angular momentum, mass and linear momentum of a particle respectively which of the following represents the kinetic energy of the particle when the particle rotates in a circle of radius R

(a)   L2/2M (b)  P2/2MR (c)   L2/2MR2 (d)   MP/2 Ans. c (16)

115. A fly wheel of moment of inertia I is rotating at n revolutions per sec. The work needed to double the frequency would be

(a)       2π2  In2 (b)      4π2  In2 (c)       6π2  In2 (d)      8π2  In2...

114. A wheel of radius r rolls without slipping with a speed v on a horizontal road. When it is at a point A on the road, a small jump of mud separates from the wheel at its highest point B and drops at point C on the road. The distance AC will be

(a)   v√r/g (b) 2v√r/g (c)  4v√r/g (d)  √3r/g Ans. c (20)

113. An engine develops 100 kW, when rotating at 1800 rpm. Torque required to deliver the power is

(a)           531 N–m (b)          570 N–m (c)           520 N–m (d)          551 N–m Ans. a (5)

110. If the rotational kinetic energy of a body is increased by 300% then the percentage increase in its angular momentum will be

(a)  600% (b)  150% (c)   100% (d)  1500% Ans. c (8)

A tangential force F is applied on a disc of radius R, due to which it deflects through an angle θ from its initial position. The work done by this force would be

(a)       FR (b)      Fθ (c)     FR/θ (d)    FRθ Ans. d (31)

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