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A certain planet completes one rotation ...

A certain planet completes one rotation about its axis in time T. The weight of an object placed at the equator on the planet's surface is a fraction f (f is close to unity) of its weight recorded at a latitude of `60^@`. The density of the planet (assumed to be uniform) is given

A

`((4-f)/(1-f))(3pi)/(4GT^2)`

B

`((4-f)/(1+f))(3pi)/(4GT^2)`

C

`((4-3f)/(1-f))(3pi)/(4GT^2)`

D

`((4-2f)/(1-f))(3pi)/(3GT^2)`

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