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If W1, W2 a...

Question

If $W_{1}, W_{2}$ and $W_{3}$ represent the work done in moving a particle from A to B along three different paths $1, 2, 3$ 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 $W_{1} = W_{2} = W_{3}$
Since gravitational force is a conservative force. Work done by a conservative force in moving a mass from one point to another along any path is same.
$⟹ W_{1} = W_{2} = W_{3}$

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