Gravitation Question 133

Question: Energy required to move a body of mass m from an orbit of radius 2R to 3R is[AIEEE 2002]

Options:

A) $ [GMm/12R^{2}] $

B) $ [GMm/3R^{2}] $

C) $ [GMm/8R] $

D) $ [GMm/6R] $

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Answer:

Correct Answer: D

Solution:

Change in potential energy in displacing a body from $ [r_{1}] $ to $ [r_{2}] $ is given by $ [\Delta U=GMm,\left[ \frac{1}{r_{1}}-\frac{1}{r_{2}} \right]=GMm,\left( \frac{1}{2R}-\frac{1}{3R} \right)=\frac{GMm}{6R}] $



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