Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes

(1)4ve                                               

(2)2ve

(3)ve                                                 

(4)12ve

Subtopic:  Escape velocity |
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The mass of the earth is 81 times that of the moon and the radius of the earth is 3.5 times that of the moon. The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

(1)0.2                                                             

(2)2.57

(3)4.81                                                             

(4)0.39

Subtopic:  Escape velocity |
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If radius of earth is R then the height h’ at which value of ‘g’ becomes one-fourth is 

(1)R4               

(2)3R4

(3)R                 

(4)R8

Subtopic:  Acceleration due to Gravity |
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The escape velocity from the surface of the earth is ve. The escape velocity from the surface of a planet whose mass and radius are 3 times those of the earth will be:

(1) ve                                                             

(2) 3ve

(3) 9ve                                                           

(4) 27ve

Subtopic:  Escape velocity |
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How much energy will be necessary for making a body of 500 kg escape from the earth?
g=9.8 m/s2, radius of earth=6.4×106m

(a) About 9.8×106J                        (b) About 6.4×108J

(c) About 3.1×1010J                      (d) About 27.4×1012J

Subtopic:  Escape velocity |
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Two planets have the same average density but their radii are R1  and R2. If acceleration due to gravity on these planets be g1 and g2 respectively, then

(1)    g1g2R1R2                   

(2) g1g2=R2R1

(3)    g1g2R12R22                  

(4) g1g2R13R23

Subtopic:  Acceleration due to Gravity |
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Assume that the acceleration due to gravity on the surface of the moon is 0.2 times the acceleration due to gravity on the surface of the earth. If RE is the maximum range of a projectile on the earth’s surface, what is the maximum range on the surface of the moon for the same velocity of projection ?

(a) 0.2Rε                     

(b) 2Rε

(c) 0.5Rε                     

(d) 5Rε

Subtopic:  Acceleration due to Gravity |
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If the density of the earth is increased 4 times and its radius becomes half of what it is, our weight will be:

1. four times the present value.

2.  doubled.

3.  the same.

4.  Halved.

Subtopic:  Acceleration due to Gravity |
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The escape velocity on earth is 11.2 km/s. On another planet having twice radius and 8 times mass of the earth, the escape velocity will be

(a) 3.7 km/s                                                  (b) 11.2 km/s

(c) 22.4 km/s                                                 (d) 43.2 km/s

Subtopic:  Escape velocity |
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When a body is taken from the equator to the poles, its weight 
(1)   Remains constant           

(2)   Increases

(3)   Decreases                    

(4)   Increases at N-pole and decreases at S-pole

Subtopic:  Acceleration due to Gravity |
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