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A spherical planet far out in space has ...

A spherical planet far out in space has a mass `M_(0)` and diameter `D_(0)`. A particle of mass m falling freely near the surface of this planet will experience an accelertion due to gravity which is equal to

Text Solution

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` g_(p) = (GM_(p))/(R_(p)^(2))`
Here `M_(p)=M_(0)`
`R_(p) = 1/2 D_(0)`
` :. g_(p) = (GM_(0))/((1/2D_(0))^(2))`
` :. g_(p) = (4GM_(0))/(D_(0)^(2))`
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