UPSEE Solved Model Paper 2

The gravitational force, F α

1

rn

⇒ F =

k

rn

.
Hence, the necessary centripetal force is mω2r =

k

rn

.
Angular velocity is ω =

2π

T

, so we have
m

4π2

T2

=

k

rn+1

⇒ T2 α rn+1
Hence, time period of revolution T α r

n+1

2