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Questions  

An artificial satellite is moving in a circular orbit around the earth with a speed equal to the half of the escape velocity from the earth of radius r. The height of the satellite above the surface of the earth is

a
R/2
b
R
c
2R
d
3R

detailed solution

Correct option is C

mv2r=GmMr2or V=GMr…………(1)Given that v=12ve=122GMRor V=(GM2R)…………(2)From eqs. (1) and (2), we getGMr=GM2R  or  r=2RHeight from earth =2 R - R = R

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