The angular velocity of rotation of star (of mass M and radius R) at which the matter start to escape from its equator will be

(a)2GM2R                                              (b)2GMg

(c)2GMR3                                                (d)2GRM

Concept Questions :-

Escape velocity
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A body weighs 700 gm wt on the surface of the earth. How much will it weigh on the surface of a planet whose mass 17 of earth's mass and radius is half that of the earth ?

(a)  200 gm wt                         

(b)  400 gm wt     

(c)  50 gm wt

(d)  300 gm wt

Concept Questions :-

Acceleration due to gravity
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What will be the acceleration due to gravity at height h if h >> R  where R is radius of earth and g is acceleration due to gravity on the surface of earth ?

(a) g1+hR2                (b) g1-2hR

(c) g1-hR2                 (d)g1-hR 

Concept Questions :-

Acceleration due to gravity
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How many times is escape velocity, of orbital velocity for a satellite revolving near earth?

(a)2 times                    (b) 2 times

(c) 3 times                       (d) 4 times

Concept Questions :-

Orbital velocity
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Escape velocity on earth is 11.2 km/s. What would be the escape velocity on a planet whose mass is 1000 times and radius is 10 times that of earth ?

(a) 112 km/s                        (b) 11.2 km/s

(c) 1.12 km/s                       (d) 3.7 km/s

Concept Questions :-

Escape velocity
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If there were a smaller gravitational effect, which of the following forces do you think would alter in some respect ?

(a)  Viscous forces                    (b)   Archimedes uplift

(c)  Electrostatic force               (d)   None of the above

Concept Questions :-

Acceleration due to gravity
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The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to

(a) dR2                             (b) dR2

(c) dR                              (d) dr

Concept Questions :-

Acceleration due to gravity
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The weight of a body at the centre of the earth is -

 (a) Zero                                         

 (b) Infinite

 (c) Same as on the surface of the earth

 (d) None of the above

Concept Questions :-

Acceleration due to gravity
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A spherical planet far out in space has a mass M0 and diameter D0. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity which is equal to

(a) GM0/D02             (b)   4m GM0/D02     

(c)4GM0/D20            (d) Gm M0/D20        

Concept Questions :-

Acceleration due to gravity
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If the radius of a planet is R and its density is ρ, the escape velocity from its surface will be

(a)Ve  pR                          (b)Ve  Rρ

(c)VepR                         (d)Ve 1pR

Concept Questions :-

Escape velocity
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