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Q.

The escape velocity of a body on the surface of the earth is 11.2 km./s. If the earth's mass increases to twice its present value and radius of the earth becomes half, the escape velocity becomes

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a

5.6 km/s

b

11.2km/s

c

22. 4 km/s

d

44.8 km/s

answer is C.

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Detailed Solution

Escape velocity ve=2GMeReor 11⋅2=2GMeReLet the new escape velocity becomes ve′ NowVe′=2G×2MeRe/2=22GMeRe=2×11⋅2=22⋅4km/s

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