The diameters of two planets are in the ratio 4 : 1 and their mean densities in the ratio 1 : 2. The acceleration due to gravity on the planets will be in ratio

1.  1 : 2                             

2.  2 : 3

3.  2 : 1                           

4.  4 : 1

Subtopic:  Acceleration due to Gravity |
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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 the 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 the 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 |
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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 |
 58%
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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 |
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Radius of orbit of satellite of earth is R. Its kinetic energy is proportional to -

1. 1R                      

2. 1R

3. R                         

4.  1R3/2

Subtopic:  Gravitational Potential Energy | Satellite |
 83%
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Two satellite A and B, ratio of masses 3 : 1 are in circular orbits of radii r and 4r. Then ratio of total mechanical energy of A to B is 

1. 1 : 3                             

2. 3 : 1

3. 3 : 4                             

4. 12 : 1

Subtopic:  Satellite |
 82%
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A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is -

1. 8 R                           

2. 4R

3. 2R                             

4. R

Subtopic:  Kepler's Laws |
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At what height from the surface of earth the gravitation potential and the value of g are -5.4×107J kg-2 and 6.0 ms-2 respectively? (Take, the radius of earth as 6400 km.)

1. 1600 km             

2. 1400 km 

3. 2000 km             

4. 2600 km

Subtopic:  Gravitational Potential |
 60%
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A remote sensing satellite of earth revolves in a circular orbit at a height of 0.25 x 106 m above the surface of earth. If earth’s radius is 6.38x106 m and g=9.8ms-1, then the orbital speed of the satellite is

1. 7.76kms-1

2. 8.56kms-1

3. 9.13kms-1

4. 6.67kms-1

Subtopic:  Orbital velocity |
 52%
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NEET - 2015
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