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…

Q: 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 gravitational field of a point mass m. Find the correct relation between W1,W2 and W3
Numerical

(a) W1 > W2 > W3

(b) W1 = W2 = W3

(c) W1< W2 <W3

(d) W2>W1>W3

Ans: (b)

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

Hence , W1 = W2 = W3