Question

There are two planets, the ratio of radius of the two planets is k but ratio of acceleration due to gravity of both the planets is g. what will be the ratio of their escape velocity?

Answer 1

Escape velocity ve=2gR−−−−√ve=2gR v1v2=g1g2×R1R2−−−−−−−√v1v2=g1g2×R1R2 =GK−−−√=GK v1v2v1v2 =(GK)1/2=(GK)1/2 Hence a is the correct answer.