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

For conservative force $\frac{\partial F_y}{\partial x}=\frac{\partial F_x}{\partial y}$ or $\vec{\nabla }\times \vec{F}=0$.

$$\left|\begin{array}{ccc}\hat{i}& \hat{j}& \hat{k}\\ \frac{\partial }{\partial x}& \frac{\partial }{\partial y}& \frac{\partial }{\partial z}\\ F_x& F_y& F_z\end{array}\right|=0$$on solving

$$A=2B$$

We are given that $A$ and $B$ are positive integers. We need to find the minimum value of $A+B$.

Since $A=2B$ and $B$ is a positive integer, the smallest possible value for $B$ is $1$.

If $B=1$, then $A=2(1)=2$.