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Potential Energy of an Object at a Height

A gravitation...

Question

A gravitational field is present in a region. A point mass is shifted from $A$ to $B$ , along different paths shown in the figure. If $W_{1}$ , $W_{2}$ and $W_{3}$ represent the work done by gravitational force for respective paths, then

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_{3} > W_{2}

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D

none of these

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Solution

The correct option is A $W_{1} = W_{2} = W_{3}$
Work done is independent of the distance traveled or the path chosen. It depends only on the displacement.
Since for all the paths given, the displacement is same, the work done by gravitational field in each case is equal.

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