The density of a newly discovered planet is twice that of earth. The acceleration due to

gravity at the surface of the planet is equal to that at the surface of the earth. If the

radius of the earth is R, the radius of the planet would be

1. 2R                   

2. 4R

3. 14R               

4. 12R     

Subtopic:  Acceleration due to Gravity |
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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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