Energy required to move a body of mass m from an orbit of radius 2 R to 3 R isA- G M m-B -G M2-12 R212 R2C- G M m-8 RG M mD- G MM m-6 R

The correct option is D Work done = Change in potential energy = U_2 U_1 = [ GMm/r_2 ] [ GMm/r_1 ]= GMm/3 R+GMm/2 R=GMm/6 R ...

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Standard XII

Physics

Gravitational Potential

Energy requir...

Question

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

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Solution

The correct option is D

Work done = Change in potential energy = $U_{2} - U_{1} = [- \frac{G M m}{r_{2}}] - [- \frac{G M m}{r_{1}}] = - \frac{G M m}{3 R} + \frac{G M m}{2 R} = \frac{G M m}{6 R}$

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

The correct option is D Work done = Change in potential energy = U2−U1=[−GMmr2]−[−GMmr1]=−GMm3 R+GMm2 R=GMm6 R

The correct option is D

Work done = Change in potential energy = $U_{2} - U_{1} = [- \frac{G M m}{r_{2}}] - [- \frac{G M m}{r_{1}}] = - \frac{G M m}{3 R} + \frac{G M m}{2 R} = \frac{G M m}{6 R}$