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The radii of two planets are respectivel...

The radii of two planets are respectively `R_(1) and R_(2)` and their densities are respectively `rho_(1) and rho_(2)`.The ratio of the accelerations due to gravity at their surface is

A

`g_1:g_2=(p_1)/(R_1^2):(p_2)/(R_2^2)`

B

`g_1:g_2=R_1R_2:p_1p_2`

C

`g_1:g_2=R_1p_2:R_2p_1`

D

`g_1:g_2=R_1p_1:R_2p_2`

Text Solution

Verified by Experts

The correct Answer is:
D
`g=4/3piGRp`
`rArr(g_1)/(g_2)=(R_1p_1)/(R_2p_2)`
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