A mass of  6×1024 kg is to be compressed in a sphere in such a way that the escape

velocity from the sphere is 3×108 m/s. Radius of the sphere should be 

G=6.67×10-11 N-m2/kg2

1. 9 km                     

2. 9 m

3. 9 cm                     

4. 9 mm

Subtopic:  Escape velocity |
 65%
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The mass and diameter of a planet have twice the value of the corresponding parameters

of earth. Acceleration due to gravity on the surface of the planet is

1. 9.8m/sec2                          

2. 4.9m/sec2 

3. 980m/sec2                         

4. 19.6m/sec2           

Subtopic:  Acceleration due to Gravity |
 72%
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Force of gravity is least at

1. The equator

2. The poles

3. A point in between the equator and any pole

4. None of these

Subtopic:  Acceleration due to Gravity |
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The velocity with which a projectile must be fired so that it escapes earth’s gravitation

does not depend on:

1. Mass of the earth

2. Mass of the projectile

3. Radius of the projectile’s orbit

4. Gravitational constant

Subtopic:  Escape velocity |
 88%
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The gravitational force between two stones of mass 1 kg each separated by a distance of

1 metre in vacuum is

1. Zero                                                 

2. 6.675×105newton

3. 6.675×1011newton                 

4. 6.675×108newton

Subtopic:  Newton's Law of Gravitation |
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The escape velocity for the Earth is taken \(v_d\). Then, the escape velocity for a planet whose radius is four times and the density is nine times that of the earth, is:

1. \(36v_d\) 2. \(12v_d\)
3. \(6v_d\) 4. \(20v_d\)
Subtopic:  Escape velocity |
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Two particles of equal mass go round a circle of radius R under the action of their mutual

gravitational attraction. The speed of each particle is

1. ν=12R1Gm                             

2. ν=Gm2R

3. ν=12GmR                               

4. ν=4GmR   

Subtopic:  Newton's Law of Gravitation |
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The acceleration of a body due to the attraction of the earth (radius R) at a distance 2R

from the surface of the earth is (g = acceleration due to gravity at the surface of the

earth)

1. g9                       

2. g3

3. g4                       

4.  g

Subtopic:  Acceleration due to Gravity |
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 If V, R, and g denote respectively the escape velocity from the surface of the earth, the

radius of the earth, and acceleration due to gravity, then the correct equation is:

1. V=gR                                 

2. V=43gR3

3. V = Rg                                   

4. V=2gR

Subtopic:  Escape velocity |
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The depth at which the effective value of acceleration due to gravity is g4, is:

1. R                              

2. 3R4

3. R2                             

4. R4

Subtopic:  Acceleration due to Gravity |
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