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The mass of the earth is 81 times that of the moon and the radius of the earth is 3 5 times that of the moon' The ratio of the escape velocity on the surface of earth to that on the surface of moon will be

a
0.2
b
2.57
c
4.81
d
0.39

detailed solution

Correct option is C

We know that, ves=2GMRSo, vesE=2G×81M3⋅5Rand vesM=2G×MR∴ veSEvesM=813⋅5=4⋅81

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