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

Explanation

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