The potential energy graph of a particle is given. Find the corresponding force graph.

Which one of the following is not a conservative force?

If potential energy is given by $U = \frac{a}{r^2} - \frac{b}{r}$,find the maximum force. (Given $a = 2, b = 4$)

The points of maximum and minimum attraction in the curve between potential energy $(U)$ and distance $(r)$ of a diatomic molecule are respectively:

The potential energy $U$ between two molecules as a function of distance $x$ between them is shown. $A, B, C$ are points for which $x = 0.6 \mathring{A}, 1.2 \mathring{A}, 1.8 \mathring{A}$ respectively. At $A, B, C$,the force between the two molecules is:

The potential energy for a force field $\vec{F}$ is given by $U(x,y) = \cos(x + y)$. The force acting on a particle at the position given by coordinates $(0, \frac{\pi}{4})$ is