find the ratio of the acceleration due to gravity of two planets(surface) if their radii are in the ratio 1:2 under the condition (i)mass remains same (ii)material remains same.

Dear student

 

Acceleration due to gravity of first planet of mass 'm' and radius r₁ is :

g₁  = G m / r₁² ...............(i)

 

Acceleration due to gravity of first planet of mass 'm' and radius r₂ is :

g₂  = G m / r₂²................(ii)

 

 

dividing (i) by (ii)

 

g₁/g₂  = r₂² / r₁²   = 4 : 1

 

We hope this clarifies your doubt.

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