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A satellite can be in a geostationary orbit around earth in an orbit of radius r. If the angular velocity of earth about its axis doubles, & satellite can now be in a geostationary orbit around earth of radius

a
r2
b
r22
c
r(4)1/3
d
r(2)1/3

detailed solution

Correct option is C

Angular speed of earth = angular speed of geostationary satelliteT∝1ω⇒ T2T1=ω1ω2=12⇒T2=T12 Also, T∝r3/2∴ r2r13/2=T2T1=12⇒r2=r141/3=r141/3

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