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

Options

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

Answer

B

Explanation

Work done will be same in all the cases because gravitational field is a conservative field Thus work done is independent of the point `B`, therefore.