A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is

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R/gR2V2−1

R gR2V2−1

R/2gRV2−1

R2gRV2−1

answer is C.

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Detailed Solution

ΔK.E.=ΔU⇒ 12MV2=GMeM 1R−1R+h … (i)Also g=GMeR2 … (ii)On solving (i) and (ii) h=R2gRV2−1

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