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 |
 80%
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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 |
 77%
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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 |
 63%
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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 |
 72%
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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 |
 87%
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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 |
 82%
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The value of \(g\) at a particular point is \(9.8~\text{m/s}^2\). Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass then value of \(g\) at the same point will now become: (assuming that the distance of the point from the centre of the earth does not shrink)

1. \(4.9~\text{m/s}^2\) 2. \(3.1~\text{m/s}^2\)
3. \(9.8~\text{m/s}^2\) 4. \(19.6~\text{m/s}^2\)
Subtopic:  Acceleration due to Gravity |
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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 |
 55%
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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 |
 69%
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