If different planets have the same density but diferent radii then the acceleration due to gravity (g) on the surface of the planet will depend on its radius (R) as

Options

A. `gprop(1)/(r^(2))`
B. `gprop(1)/(R )`
C. `gpropR`
D. `gpropR^(2)`

Answer

C

Explanation

`g=(GM)/(R^(2))=(G)/(R^(2))xx(4)/(3)piR^(3)rho`
`=(Gxx4pirhoxxR)/(3)`
or `gpropR`