The mass density of a spherical galaxy v...

The mass density of a spherical galaxy varies as `K/r` over a large distance 'r' from its centre. In that region, a small star is in a circular orbit of radius R. Then the period of revolution, T depends on R as:

A

`T prop R`

B

`T^2 prop R^3`

C

`T^2 prop R`

D

`T^2 prop 1/ R^3`

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