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Question

A satellite is rotating around a planet in the orbi of radius r with time period T. If gravitational force changes according to r5/2 the T2 will be
  1. r3
  2. r7/2
  3. r9/2
  4. r3/2

A
r3
B
r7/2
C
r9/2
D
r3/2
Solution
Verified by Toppr

GMmr5/2=mv2r
v2=GMr3/2
T2=(2πrv)2
=4π2r2GM/r3/2=4π2r7/2Gm
T2r7/2

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