Gravitation Question 130

Question: A body of mass m is placed on the earth’s surface. It is taken from the earth’s surface to a height $ [h=3R] $ . The change in gravitational potential energy of the body is [CBSE PMT 2002]

Options:

A) $ [\frac{2}{3}mgR] $

B) $ [\frac{3}{4}mgR] $

C) $ [\frac{mgR}{2}] $

D) $ [\frac{mgR}{4}] $

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Answer:

Correct Answer: B

Solution:

$ [\Delta U=\frac{mgh}{1+\frac{h}{R}}=\frac{mg\times 3R}{1+\frac{3R}{R}}=\frac{3}{4}mgR] $



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