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A hypothetical planet in the shape of a sphere is completely made of an incompressible fluid and has a mass M and radius R. If the pressure at the surface of the planet is zero, then the pressure at the centre of the planet is [G = universal constant of gravitation]

A

`P=(3GM^(2))/(8piR^(4))`

B

`P=(3GM^(2))/(4piR^(4))`

C

`P=(3GM^(2))/(4piR^(4))`

D

`P=(3GM^(2))/(4pi^(2)R^(4))`

Text Solution

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The correct Answer is:
A
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