If the diameter of mars is 6760 km and mass one tenth that of the earth the diameter of earth is 12742 km if acceleration due to gravity on earth is `9.8 mx^(-2)` the acceleartion due to gravity on eath is `9.8 m,s^(-2)` the acceleartion due to gravity on mars is

Options

A. `34.8 ms^(-2)`
B. `2.48 ms^(-2)`
C. `3.48 ms^(-2)`
D. `28.4 ms^(-2)`

Answer

C

Explanation

Acceleration due to gravity `=(GM)/(R^(2))`
`(G_(M))/(G_(E ))=(M_(M))/(M_(E ))^(2)=1/10xx(12742)/(6760)^(2)=0.35`
`g_(m)=9.8xx0.35=3.48 ms^(-2)`