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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a
0.14 km/s
b
0.5 km/s
c
2.5 km/s
d
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