Distance of geostationary satellite from the surface of the earth  in terms of ${R}_{e}$ is

(a)                          (b)

(c)                             (d)

Concept Questions :-

Satellite

Difficulty Level:

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

(a)    $GMm/12{R}^{2}$                (b)    $GMm/3{R}^{2}$

(c)     $GMm/8R$                  (d)     $GMm/6R$

Concept Questions :-

Gravitational potential energy
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Difficulty Level:

If radius of the earth contracts by 2% and its mass remains the same, then weight of the body at the earth surface :

(a)     Will decrease                       (b)  Will increase

(c)   Will remain the same              (d)  None of these

Concept Questions :-

Acceleration due to gravity
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Difficulty Level:

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

Concept Questions :-

Escape velocity
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Difficulty Level:

A satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will be
(a)                       (b) 16 km/s

(c) 7.15 km/s                   (d) 8 km/s

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Difficulty Level:

If mass of a body is M on the earth surface, then the mass of the same body on the moon surface is

(a)  M/6       (b)  Zero

(c)  M          (d)   None of these

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Difficulty Level:

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

(a) $\frac{1}{R}$                       (b) $\frac{1}{\sqrt{R}}$

(c) R                         (d)  $\frac{1}{{R}^{3/2}}$

Concept Questions :-

Gravitational potential energy
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Difficulty Level:

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

(a)   Infinity                   (b) $\sqrt{2gR}$

(c)   $2\sqrt{gR}$                    (d)  Zero

Concept Questions :-

Escape velocity
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Difficulty Level:

Two satellite A and B, ratio of masses 3 : 1 are in circular orbits of radii r and 4r. Then ratio of total mechanical energy of A to B is

(a) 1 : 3                             (b) 3 : 1

(c) 3 : 4                             (d) 12 : 1

Concept Questions :-

Satellite
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Difficulty Level:

The orbital velocity of a planet revolving close to earth's surface is

(a) $\sqrt{2gR}$               (b) $\sqrt{gR}$

(c) $\sqrt{\frac{2g}{R}}$                (d) $\sqrt{\frac{g}{R}}$

Concept Questions :-

Orbital velocity