A planet of mass 4 times that of the earth spins about itself and completes one rotation is 96 hours. The radius of a stationary satellite about this planet in comparisons to the radius of the geostationary orbit around the earth is

Question

A planet of mass 4 times that of the earth spins about itself and completes one rotation is 96 hours. The radius of a stationary satellite about this planet in comparisons to the radius of the geostationary orbit around the earth is, 4 times, 1 4 times, 2 times, 1 2 times

MARKS App · Accepted Answer

T = 2 π r 3 2 G M ∴ 24 = 2 π r 3 2 G M .......... ( 1 ) 96 = 2 π r 1 3 2 G × 4 M .......... ( 2 ) d i v i d e ( 1 ) & ( 2 ) 96 24 = 1 2 ( r 1 r ) 3 2 8 = r 1 r 3 2 ⇒ r 1 r = 4 r 1 = 4 r

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