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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)=(rho_(1))/(R_(1)^(2)):(rho_(2))/(R_(2)^(2))`

B

`g_(1):g_(2)=R_(1)R_(2):rho_(1)rho_(2)`

C

`g_(1):g_(2)=R_(1)rho_(2)^(2):R_(2)rho_(1)`

D

`g_(1):g_(2)=R_(1)rho_(1)^(2):R_(2)rho_(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Acceleration due gravity `g=4/3pi rho GR`
`:. g_(1):g_(2)=R_(1)rho_(1):R_(2)rho_(2)`
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Knowledge Check

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

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