Gravitation Question 251

Question: 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[CBSE PMT 1992]

Options:

A) [R2g/ω]

B) [R2ω2/g]

C) [Rg/ω2]

D) [R2g/ω2]

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Answer:

Correct Answer: D

Solution:

Orbital velocity [v0=GMr=gR2r]

and [v0=rω]

This gives [r3=R2gω2]



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