Q: 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 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}

(b) W_{1} = W_{2} = W_{3}

(c) W_{1} < W_{2} < W_{3}

(d) W_{2} > W_{1} > W_{3}

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Ans: (b)

Sol: Gravitational field is a conservative force field . In a conservative force field work done is independent of path .

Hence , W_{1} = W_{2} = W_{3}