The mean radius of the earth is R, its angular speed on its own axis is ω and the acceleration due to gravity at earth's surface is g. The cube of the radius of the orbit of a geostationary satellite will be
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a
R2g/ω
b
R2ω2/g
c
Rg/ω2
d
R2g/ω2
answer is D.
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Detailed Solution
Orbital velocity v0=GMr=gR2r and v0=rωThis gives r3=R2gω2