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>> $The change in potential energy, when a b$

Question

The change in potential energy, when a body of mass $m$ is raised to a height $n R$ from the earth's surface is $(R =$ radius of earth $)$

A

$m g R (\frac{n}{n - 1})$

B

$n m g R$

C

$m g R (\frac{n ^{2}}{n ^{2} + 1})$

D

$m g R (\frac{n}{n + 1})$

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Updated on : 2022-09-05

Solution

Verified by Toppr

Correct option is D)

$△ U = U_{f} - U_{i} = - \frac{G M m}{n R + h} - (- \frac{G M m}{R})$

$= \frac{n}{n + 1} . \frac{G M m}{R} = \frac{n}{n + 1} m g R$

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