First slide

Gravitational potential and potential energy

Question

Energy required to move a body of mass m from an orbit of radius 2R to 3R is

Easy

A

$G M m / 12 R^{2}$
B

$G M m / 3 R^{2}$
C

$G M m / 8 R$
D

$G M m / 6 R$

Solution

Change in potential energy in displacing a body from $r_{1}$ to $r_{2}$ is given by $Δ U = G M m [\frac{1}{r_{1}} - \frac{1}{r_{2}}] = G M m (\frac{1}{2 R} - \frac{1}{3 R}) = \frac{G M m}{6 R}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App