Gravitation Question 126

Question: If mass of earth is M, radius is R and gravitational constant is G, then work done to take 1 kg mass from earth surface to infinity will be [RPET 1997]

Options:

A) $ [\sqrt{\frac{GM}{2R}}] $

B) $ [\frac{GM}{R}] $

C) $ [\sqrt{\frac{2GM}{R}}] $

D) $ [\frac{GM}{2R}] $

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Answer:

Correct Answer: B

Solution:

Potential energy of the 1 kg mass which is placed at the earth surface = $ [-\frac{GM}{R}] $ its potential energy at infinite = 0 Work done = change in potential energy = $ [\frac{GM}{R}] $



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