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 :

`T prop R `

`T^(2) prop R `

`T^(2) prop (1)/(R^3)`

`T^(2) prop R^(3)`

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