A particle is moved from `(0, 0) to (a, a)` under a force `F =(x^(2)hati+y^(3)hatj)` from two paths. Path 1 si `OP` and Path 2 is `OQP`. Let `W_(1)` and `W_(2)` be the work done by this force in these two paths. Then

Options

A. (a)`W_(1) =W_(2)`
B. (b)`W_(1) = 2 W_(2)`
C. (c)`W_(1) = 2 W _(1)`
D. (d)`W_(2) = 4 W_(1)`

Answer

A

Explanation

As force acting and displacement are same `implies W_1 = W_2`.