The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth's mass increases to twice its present value and the radius of the earth becomes half, the escape velocity would become

(1) 5.6 km/s                                            

(2) 11.2 km/s (remain unchanged)

(3) 22.4 km/s                                           

(4) 44.8 km/s

Subtopic:  Escape velocity |
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A body of mass m is taken to the bottom of a deep mine. Then: 
1. Its mass increases
2. Its mass decreases
3. Its weight increases
4. Its weight decreases
Subtopic:  Acceleration due to Gravity |
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Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is  11.2 km/s, the value of same on the surface of the moon is

(1)0.14 km/s                                                  (2)0.5 km/s

(3)2.5 km/s                                                    (4)5 km/s

Subtopic:  Escape velocity |
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The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be

(1)2GM2R                                             

(2)2GMg

(3)2GMR3                                               

(4)2GRM

Subtopic:  Escape velocity |
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A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass 17 of earth's mass and radius is half that of the earth ?

(1)  200 gm wt                         

(2)  400 gm wt     

(3)  50 gm wt

(4)  300 gm wt

Subtopic:  Acceleration due to Gravity |
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What will be the acceleration due to gravity at height h if h >> R  where R is radius of earth and g is acceleration due to gravity on the surface of earth ?

(1) g1+hR2               

(2) g1-2hR

(3) g1-hR2                 

(4)g1-hR 

Subtopic:  Acceleration due to Gravity |
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How many times is escape velocity, of orbital velocity for a satellite revolving near earth?

(a)2 times                    (b) 2 times

(c) 3 times                       (d) 4 times

Subtopic:  Orbital velocity |
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The acceleration due to gravity near the surface of a planet of radius R and density d is

proportional to

1. dR2                            

2. dR2

3. dR                             

4. dr

Subtopic:  Acceleration due to Gravity |
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The weight of a body at the centre of the earth is -

1. Zero                                         

2. Infinite

3. Same as on the surface of the earth

4. None of the above

Subtopic:  Acceleration due to Gravity |
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If the radius of a planet is R and its density is ρ, the escape velocity from its surface will

be

1. Ve  pR                         

2. Ve  Rρ

3. VepR                        

4. Ve 1pR

Subtopic:  Escape velocity |
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