If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be:

1. g/2                             

2. 4g

3. g/4                            

4. 2g

Subtopic:  Acceleration due to Gravity |
 74%
From NCERT
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The masses and radii of the earth and moon are M1, R1 and M2, R2 respectively. Their centres are distance d apart. The minimum velocity with which a particle of mass should be projected from a point midway between their centres so that it escapes to infinity is:

1. 2GDM1+M2                 

2. 22GD(M1+M2)

3. 2GMDM1+M2               

4. 2GMM1+M2DR1+R2

Subtopic:  Gravitational Potential Energy |
From NCERT
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If the mass of the earth is M, the radius is R and the gravitational constant is G, then work done to take

1 kg mass from earth surface to infinity will be:

1.  GM2R                      

2.  GMR

3.   2GMR                

4.   GM2R

Subtopic:  Gravitational Potential Energy |
 71%
From NCERT
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If ve and vo represent the escape velocity and orbital velocity of a satellite corresponding

to a circular orbit of radius R, then 

1. ve=vo                     

2. 2vo=ve

3. ve=vo/2               

4. ve and vo are not related

Subtopic:  Escape velocity | Orbital velocity |
 88%
From NCERT
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If r represents the radius of the orbit of a satellite of mass m moving around a planet of

mass M, the velocity of the satellite is given by: 

1. v2=gMr                     

2. v2=GMmr

3. v=GMr                        

4. v2=GMr

Subtopic:  Satellite |
 79%
From NCERT
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An earth satellite of mass m revolves in a circular orbit at a height h from the surface of

the earth. R is the radius of the earth and g is acceleration due to gravity at the surface

of the earth. The velocity of the satellite in the orbit is given by:

1. gR2R+h                     

2. gR

3. gRR+h                     

4. gR2R+h

Subtopic:  Orbital velocity |
 81%
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A satellite which is geostationary in a particular orbit is taken to another orbit. Its

distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time

period in the second orbit is:

1. 4.8 hours                         

2. 482 hours

3. 24 hours                           

4. 242 hours

Subtopic:  Satellite |
 75%
From NCERT
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The ratio of the K.E. required to be given to the satellite to escape earth's gravitational

field to the K.E. required to be given so that the satellite moves in a circular orbit just

above earth atmosphere is:

1. One                           

2. Two

3. Half                           

4. Infinity

Subtopic:  Escape velocity | Orbital velocity |
 73%
From NCERT
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An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth, gently drops a spoon out of space-ship. The spoon will

1. Fall vertically down to the earth

3. Move towards the moon

4. Will move along with space-ship

4. Will move in an irregular way then fall down

Subtopic:  Satellite |
 66%
From NCERT
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The period of a satellite in a circular orbit around a planet is independent of 

1. The mass of the planet

2. The orbital radius of satellite  around the planet

3. The mass of the satellite

4. All the three parameters 1, 2 and 3

Subtopic:  Satellite |
 76%
From NCERT
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