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Question: If\(W _ { 1 } , W _ { 2 }\)and \(W _ { 3 }\) represent the work done in moving a particle from A to ...

IfW1,W2W _ { 1 } , W _ { 2 }and W3W _ { 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

A

W1>W2>W3W _ { 1 } > W _ { 2 } > W _ { 3 }

B

W1=W2=W3W _ { 1 } = W _ { 2 } = W _ { 3 }

C

W1<W2<W3W _ { 1 } < W _ { 2 } < W _ { 3 }

D

W2>W1>W3W _ { 2 } > W _ { 1 } > W _ { 3 }

Answer

W1=W2=W3W _ { 1 } = W _ { 2 } = W _ { 3 }

Explanation

Solution

As gravitational field is conservative in nature. So work done in moving a particle from A to B does not depends upon the path followed by the body. It always remains same.