Is Electrostatic Force Conservative

Q. Suppose the potential energy between electron and proton at a distance $r$ is given by $\frac{k{e}^2}{3r}$ . Then using Bohr's theory radius of $1^{\text{st}}$ bohr orbit is given by

1. $\frac{3h^2}{2mk{e}^2}$
2. $\frac{6h^2}{mk{e}^2}$
3. $\frac{3h^2}{4mk{e}^2}$
4. $\frac{3h^2}{mk{e}^2}$

Q. A charge q of mas m is lying in a cylindrical region of magnetic field at point P. If magnetic field in the region is given by Bnot and P is at distance R from centre of region, find the speed of charge if the magnetic field is suddenly switch off.

Q. A point charge is taken from a point A to point B in a field produced by moving charges. Can we say that the work done is independent of the path taken?

1. Yes
2. No