Physics - W.E.P. Question with Solution | TestHub

Conservative force: $\nabla \times \vec{F}=0$, i.e. $\frac{\partial F_y}{\partial x}=\frac{\partial F_x}{\partial y}$.

(A) $2xy\hat{i}+x^2\hat{j}$: both derivatives $=2x$ - conservative.

(C) $y\hat{i}+x\hat{j}$: both derivatives $=1$ - conservative. (B) and (D) fail the test. Answers: (A), (C).