If R is the radius of the earth and g the acceleration due to gravity on the earth's surface,

the mean density of the earth is:

1. 4πG/3gR                                 

2. 3πR/4gG

3. 3g/4πRG                               

4.πRG/12G        

Subtopic:  Acceleration due to Gravity |
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A planet has twice the radius but the mean density is 14th as compared to earth. What is the ratio of escape velocity from earth to that from the planet ?

1. 3:1                                                                 

2. 1:2

3. 1:1                                                                 

4. 2:1

Subtopic:  Escape velocity |
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A body weighs 500 N on the surface of the earth. How much would it weigh halfway

below the surface of the earth?

1. 125 N                               

2.  250 N

3. 500 N                               

4.  1000 N

Subtopic:  Acceleration due to Gravity |
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Who among the following gave first the experimental value of G?

1. Cavendish                               

2. Copernicus

3. Brook Taylor                           

4. None of these

Subtopic:  Newton's Law of Gravitation |
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3 particles each of mass m are kept at vertices of an equilateral triangle of side L. The

gravitational field at centre due to these particles is

1. zero                                                                       

2. 3GML2

3. 9GML2                                                                     

4. 123GML2

Subtopic:  Gravitational Field |
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The weight of an object in the coal mine, sea level, at the top of the mountain are  W1,

W2 and W3   respectively, then

1.  W1W2W3                      

2.  W1=W2=W3

3.  W1W2W3                     

4.  W1W2W3      

Subtopic:  Acceleration due to Gravity |
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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:

1. 12km/s                                                                 

2. 1km/s

3. 2  km/s                                                             

4. 22 km/s

Subtopic:  Escape velocity | Orbital velocity |
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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

1. -32GML                                   

2. -64GML2

3. zero                                             

4. 32GML

Subtopic:  Gravitational Potential |
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The mass of the moon is 7.34×1022kg and the radius is 1.74×106m. The value of

gravitation field will be

1. 1.45 N/kg                               

2. 1.55 N/kg

3. 1.75 N/kg                               

4.  1.62 N/kg

Subtopic:  Gravitational Field |
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The centripetal force acting on a satellite orbiting round the earth and the gravitational

force of earth acting on the satellite both equal F. The net force on the satellite is

1. Zero                                  

2. F

3. F2                                 

4. 2 F

Subtopic:  Satellite |
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