The mass ratio of two planets is 1:5 . They are revolving around the sun in circular paths of radii in the ratio 2:5. The ratio between the values of acceleration due to gravity on their surface is:

Options

A. `2:5`
B. `3:5`
C. `5:2`
D. `5:4`

Answer

D

Explanation

Acceleration due to gravity
`g=(GM)/(R^2)`
`(g_1)/(g_2)=(R_(2)^(2))/(R_(1)^(2))xx(m_1)/(m_2)`
`=((5)/(2))^(2)xx((1)/(5))`
`(g_1)/(g_2)=(5)/(4)`
`thereforeg_(1):g_(2)=5:4`