If `W_(1)` ,`W_(2)` and `W_(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 between ` `W_(1) W_(2)` and `W_(3)`

Options

A. `W_1gtW_2gtW_3`
B. `W_1=W_2=W_3`
C. `W_1ltW_2ltW_3`
D. `W_2gtW_1gtW_3`

Answer

B

Explanation

Work done by a conservative force is independent of path followed by particle.