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Gravitational Potential

lf W1, W2 a...

Question

lf $W_{1}, W_{2}$ and $W_{3}$ represent the work done in moving a particle from A to $B$ along three different paths 1, 2 and 3 respectively (as shown) in the gravitational field of a point mass $m$ , find the correct relation between $W_{1}, W_{2}$ and $W_{3}$ .

A

W_{1} > W_{2} > W_{3}

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B

W_{1} = W_{2} = W_{3}

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C

W_{1} < W_{2} < W_{3}

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D

W_{2} > W_{1} > W_{3}

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Solution

The correct option is B $W_{1} = W_{2} = W_{3}$
Gravitational force is a conservative force. Work done in moving object under that force only depends upon initial and final positions and not on the path along which it travels. Hence $W_{1} = W_{2} = W_{3}$

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