Given mass of the moon is 1/81 of the mass of the earth and corresponding radius is 1/4 of the earth. If escape velocity on the earth surface is 11.2 km/s, the value of same on the surface of the moon is

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0.14 km/s

0.5 km/s

2.5 km/s

5 km/s

answer is C.

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Detailed Solution

On earth ve=2GMR=11.2 km/sOn moon vm=2GM×481×R=29 2GMR =29×11.2=2.5 km/s

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