If the mass and radius of the Earth are both doubled, then the accelration due to gravity g

Options

A. remains same
B. `(g)/(2)`
C. 2 g
D. 4 g

Answer

B

Explanation

`g=(GM)/(R^2)`
`M'=2M`
`R'=2R`
`g'=(GM')/((R')^(2))=(Gxx2M)/((2R)^(2))`
`=(GM)/(2R^2)=(g)/(2)`