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) :
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a
gR2
b
23gR
c
gR2
d
Path of particle is parabolic
answer is C.
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Detailed Solution
Principle of conservation of energy is to be applied. Since acceleration is variable −GmM4R=−GmM2R+12mv2v=GM2R=gR2
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) :