If both the mass and the radius of the earth is decreased by \(1\%\), then the value of the acceleration due to gravity will:
1. decrease by \(1\%\) 2. increase by \(1\%\)
3. increase by \(2\%\) 4. remain unchanged

Subtopic:  Acceleration due to Gravity |
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The earth (mass = 6×1024kg ) revolves round the sun with angular velocity

2×107rad/s in a circular orbit of radius 1.5×108km . The force exerted by the sun on

the earth in Newtons, is

1. 18×1025                               

2. Zero

3. 27×1039                               

4. 36×1021

Subtopic:  Newton's Law of Gravitation |
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The gravitational force between two point masses m1  and m2  at separation r is given by F=km1m2r2  The constant k                                                                

1. Depends on system of units only

2. Depends on medium between masses only

3. Depends on both 1 and 2

4. Is independent of both 1 and 2

Subtopic:  Newton's Law of Gravitation |
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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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