Gravitation Question 214

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

Options:

A) [R/(gR2V2−1)]

B) [R(gR2V2−1)]

C) [R/(gR2V2−1)]

D) [R(2gRV2−1)]

Show Answer

Answer:

Correct Answer: C

Solution:

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

    [h=R(2gRV2−1)]

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