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 |
 80%
From NCERT
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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 |
 79%
From NCERT
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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 |
 84%
From NCERT
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If the gravitational force between two objects were proportional to \(\frac{1}{R}\) (and not as 1/R2) 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. 1/R2                        

2. R

3. R1                             

4. \(1/R\)

Subtopic:  Orbital velocity |
 79%
From NCERT
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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 |
 62%
From NCERT
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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 |
 81%
From NCERT
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A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is -

(1) 8 R                           

(2) 4R

(3) 2R                             

(4) R

Subtopic:  Kepler's Laws |
 78%
From NCERT
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A satellite moves in a circle around the earth. The radius of this circle is equal to one half of the radius of the moon’s orbit. The satellite completes one revolution in

(1) 12 lunar month                   

(2) 23 lunar month

(3) 2-32 lunar month               

(4) 232 lunar month

Subtopic:  Kepler's Laws |
 69%
From NCERT
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If the acceleration due to gravity at a height 1 km above the earth is similar to a depth d below the surface of the earth, then: 

1. d=0.5 km

2. d=1 km

3. d=1.5 km

4. d=2 km

Subtopic:  Acceleration due to Gravity |
 73%
From NCERT
NEET - 2017
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Two astronauts are floating in a gravitational free space after having lost contact with their spaceship. The two will:

1. keep floating at the same distance between them 
2. move towards each other 
3. move away from each other
4. will become stationary 

Subtopic:  Satellite |
 60%
From NCERT
NEET - 2017
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