Two planets if radii in the ratio 2:3 are made from the material of density in the ratio 3:2. Then the ratio of acceleration due to gravity at the surface of the two planets will be ...........

Options

A. `1:1`
B. `2:25:1`
C. `4:9`
D. `0:12:1`

Answer

A

Explanation

`implies` According to g ` = (4/2 piGRrho)`
`g_1/g_2=(R_1rho_1)/(R_2rho_2)=((R_1)/(R_2))((rho_1)/(rho_2))=(2/3)(3/2)=1/1`
`g_1/g_2 = 1:1`