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Questions  

A particle is dropped from height 3R from surface of earth. Then, the velocity of particle at height R is (given R is radius of earth, g is acceleration due to gravity on the earth’s surface) : 

a
gR2
b
23gR
c
gR2
d
Path of particle is parabolic

detailed solution

Correct option is C

Principle of conservation of energy is to be applied. Since acceleration is variable −GmM4R=−GmM2R+12mv2v=GM2R=gR2

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