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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a
R/gR2V2−1
b
RgR2V2−1
c
R/2gRV2−1
d
R2gRV2−1
answer is C.
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Detailed Solution
ΔK.E.=ΔU⇒12MV2=GMeM1R−1R+h ……….(i) Also g=GMeR2 ………(ii) On solving (i) and (ii), h=R2gRV2−1