Q.

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

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a

(kg)2

b

(kg)2

c

(kg)1/2

d

(kg)1/2

answer is A.

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Detailed Solution

v=2GMR=2gR

v1v2=g1g2×R1R2

v1v2=gkv1v2=(kg)1/2

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