If 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 figure) 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
W1=W2=W3
D
W2>W1>W3
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Solution
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In a conservative field work done does not depend on the path, and gravitational field is a conservative field. ∴W1=W2=W3
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