Weight of 1 kg becomes 1/6 kg on moon. If radius of moon is 1.768×106m, then the mass of moon will be -

1. 1.99×1030kg                        
2. 7.56×1022kg
3. 5.98×1024kg                       
4. 7.65×1022kg

Subtopic:  Acceleration due to Gravity |
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Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then

1.  g decreases by 2% and K decreases by 4%

2.  g decreases by 4% and K increases by 2%

3.  g increases by 4% and K increases by 4%

4.  g decreases by 4% and K increases by 4%

Subtopic:  Acceleration due to Gravity |
 72%
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The distance between centre of the earth and moon is 384000 km. If the mass of the earth is 6×1024 kg and G=6.66×10-11 Nm2/kg2 . The speed of the moon is nearly -

1. 1 km/sec                         
2. 4 km/sec
3. 8 km/sec                         
4. 11.2 km/sec

Subtopic:  Orbital velocity |
 50%
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A body is projected vertically upwards from the surface of a planet of radius \(R\) with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is:
1. \(\frac{R}{3}\)
2. \(\frac{R}{2}\)
3. \(\frac{R}{4}\)
4. \(\frac{R}{5}\)

Subtopic:  Escape velocity |
 65%
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A satellite is launched into a circular orbit of radius \(R\) around the Earth while a second satellite is launched into an orbit of radius \(1.02~\text{R}\). The percentage difference in the time periods of the two satellites is: 

1. \(0.7\) 2. \(1.0\)
3. \(1.5\) 4. \(3\)
Subtopic:  Kepler's Laws |
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Distance of geostationary satellite from the center of the Earth  (Re=6400 km) in terms of Re is-

1. 13.76 Re                        

2. 10.76 Re

3. 6.59 Re                            

4. 2.56 Re

Subtopic:  Satellite |
 70%
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Energy required to move a body of mass m from an orbit of radius 2R to 3R is

1.    GMm/12R2               

2.    GMm/3R2

3.     GMm/8R                 

4.     GMm/6R

Subtopic:  Gravitational Potential Energy |
 71%
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If the radius of the earth contracts by 2% and its mass remains the same, then weight of the body at the earth surface :

1.  Will decrease                      

2.  Will increase

3.  Will remain the same             

4.  None of these

Subtopic:  Acceleration due to Gravity |
 78%
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The kinetic energy needed to project a body of mass m from the earth surface (radius R) to infinity is -

1.   mgR/2                 

2.  2 mgR

3.   mgR                   

4.   mgR/4

Subtopic:  Escape velocity |
 66%
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A satellite is to revolve round the earth in a circle of radius 8000 km. The speed at which this satellite be projected into an orbit, will be 
1. 3 km/s                     

2. 16 km/s

3. 7.15 km/s                   

4. 8 km/s

Subtopic:  Satellite |
 55%
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