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

(1)   mgR/2                 

(2)  2 mgR

(3)   mgR                   

(4)   mgR/4

Subtopic:  Escape velocity |
 66%
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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 
(1) 3 km/s                     

(2) 16 km/s

(3) 7.15 km/s                   

(4) 8 km/s

Subtopic:  Satellite |
 55%
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If the mass of a body is M on the earth surface, then the mass of the same body on the moon surface is:

(1)  M/6       

(2)  Zero

(3)  M          (4)   None of these

Subtopic:  Acceleration due to Gravity |
 67%
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Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to -

1. 1R                      

2. 1R

3. R                         

4.  1R3/2

Subtopic:  Gravitational Potential Energy | Satellite |
 78%
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A particle falls towards earth from infinity. It’s velocity on reaching the earth would be -

(1)   Infinity                   

(2) 2gR

(3)   2gR                   

(4)  Zero

Subtopic:  Escape velocity |
 81%
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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 

(1) 1 : 3                             

(2) 3 : 1

(3) 3 : 4                             

(4) 12 : 1

Subtopic:  Satellite |
 78%
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The orbital velocity of a planet revolving close to earth's surface is 

(1) 2gR              

(2) gR

(3) 2gR               

(4) gR  

Subtopic:  Orbital velocity |
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If the gravitational force between two objects were proportional to \(\frac{1}{R}\) (and not as\(\frac{1}{R^2}\)) where \(R\) is the separation between them, then a particle in circular orbit under such a force would have its orbital speed \(v\) proportional to:
1. \(\frac{1}{R^2}\)
2. \(R^{0}\)
3. \(R^{1}\)
4. \(\frac{1}{R}\)

Subtopic:  Orbital velocity |
 80%
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When a satellite going round the earth in a circular orbit of radius r and speed v loses some of its energy, then r and v change as 

(1) r and v both will increase

(2) r and v both will decrease

(3) r will decrease and v will increase

(4) r will decrease and v will decrease

Subtopic:  Gravitational Potential Energy |
 64%
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Which of the following quantities does not depend upon the orbital radius of the satellite ?

(1) TR                            

(2) T2R

(3) T2R2                           

(4) T2R3

Subtopic:  Kepler's Laws |
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