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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 acceleration due to gravity which is equal to

A

`GM_(0)//D^(2)`

B

`4mGM_(0)//D_(0)^(2)`

C

`4GM_(0)//D_(0)^(2)`

D

`GmM_(0)//D_(0)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Acceleration due to planet,
`g=(GM_(0))/(R^(2))=(GM_(0))/(((D_(0))/(2))^(2))=(4GM_(0))/(D_(0)^(2))`.
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