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Question:
find the ratio of acceleration due to gravity of two planets if their radii are in ratio 1:2 under the condition 1. Mass remains same 2. Material remains same
Answer:

1. 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)

 

 

Divide (i) by (ii)

 

g1/g2  = r22 / r12 = 22/12 = 4 : 1

2. Material will not make any difference to the ration of acceleration due to gravity of the two planets.

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