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A planet of mass m moves around the Sun ...

A planet of mass m moves around the Sun along an elliptical path with a period of revolution T. During the motion, the planet's maximum and minimum distance from Sun is R and `R/3` respectively. If `T^2=alpha R^3`, Then the magnitude of constant `alpha` will be

A

`10pi/9GM`

B

`20pi^2/27GM`

C

`32pi^2/27GM`

D

`pi^2/18GM`

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