If the mass of moon is `(1)/(90)` of earth's mass, its radius is `(1)/(3)` of earth's radius and if g is acceleration due to gravity on earth, then the acceleration due to gravity on moon is ......:

Options

A. `g/3`
B. `(g)/(30)`
C. `(g)/(10)`
D. `(g)/(9)`

Answer

C

Explanation

`g_(m) = ( G xx M // 90)/(( R // 3) ^(3)) = (1)/(10) g `