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Question

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

A
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B
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C
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D
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Solution

The correct option is C
ΔK.E=ΔU12MV2=GMeM(1R1R+h)(i)Also g=GMeR2(ii)On solving (i) and (ii) h=R(2gRV21)

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