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Q.

The escape velocity on the surface of earth is 11.2 km/s. What would be the escape velocity on the surface of another planet of the same mass but 1/4 times the radius of the earth?

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a

5.6 km/s

b

11.2 km/s

c

44.8 km/s

d

22.4 km/s

answer is A.

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Detailed Solution

vearth =2GMeRe

vplanet =2GMpRp=2GMeRe4=8GMeRe

vplanet vearth =8GMeRe×Re2GMe=2

∴vplanet =2×vearth =2×11.2=22.4 km/s

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