If W1, W2 and W3 represents 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 W1, W2 and W3.
A
W1 > W2 > W3
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B
W1 = W2 = W3
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C
W1 < W2 < W3
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D
W2 > W1 > W3
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Solution
The correct option is BW1 = W2 = W3 Gravitational field is conservative in nature hence the work done does not depend on the path followed but only on initial and final positions