lf W1,W2 and W3 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 W1,W2 and W3.
W1>W2>W3
W1=W2=W3
W2>W1>W3
W1<W2<W3
A
W1>W2>W3
B
W1<W2<W3
C
W2>W1>W3
D
W1=W2=W3
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Solution
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Gravitational force is a conservative force. Work done in moving object under that force only depends upon initial and final positions and not on the path along which it travels. Hence W1=W2=W3
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