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 hown ) in the gravitational field of a point mass m, find the correct relation between `W_(1) ,W_(2) and W_(3)`

Options

A. `W_(1)gtW_(2)``gt` `W_(3)`
B. `W_(1)= W_(2)` = `W_(3)`
C. `W_(1)lt W_(2)` `lt` `W_(3)`
D. `W_(1) gt W_(2)` `gt` `W_(3)`

Answer

B

Explanation

Gravitational force is a conservative and work done againest it is a point fraction i.e. does depeds so the path