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A satellite can be in a geo stationary orbit around a planet at a distance r from the centre of the planet. If the angular velocity of the planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of the planet is

a
r2
b
r22
c
r413
d
r213

detailed solution

Correct option is C

T2∝ r3 ⇒ 2πω2∝r3∴r'r3 = ωω12 = 122 ⇒ r' = r413

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