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 -

(a) 1.99×1030kg                        (b) 7.56×1022kg

 (c) 5.98×1024kg                       (d) 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%
From NCERT
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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 -

(a) 1 km/sec                          (b) 4 km/sec

(c) 8 km/sec                          (d) 11.2 km/sec

Subtopic:  Orbital velocity |
 51%
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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.  R/3                            

2.  R/2

3.  R/4                            

4.  R/5

Subtopic:  Escape velocity |
 63%
From NCERT
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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 1.02R. 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 |
From NCERT
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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 |
 71%
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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%
From NCERT
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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 |
 65%
From NCERT
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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 |
 54%
From NCERT
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