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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 $W_{1}, W_{2} and W_{3}$ .

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

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

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

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

answer is B.

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Detailed Solution

Gravitational force is a conservative force and work done against it is a point function l.e. does not depend on the path.

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