The ratio between masses of two planets is 3 : 5 and the ratio between their radii is 5 : 3. The ratio between their acceleration due to gravity will be

Options

A. (a)`2//3`
B. (b)`1//3`
C. (c)`1//4`
D. (d)`1//2`

Answer

D

Explanation

`(n_(1))/( 2((l)/(2))) sqrt((T)/(pi r^(2) rho))`
`(n_(2))/( 2((l)/(2))) sqrt((T)/( pi ( 4r^(2))) rho ) rArr (n_(1))/(n_(2)) = (1)/(2)`