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] $
Show Answer
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}] $
