Is Electrostatic Force Conservative

Q. Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ($e$ being the charge on an electron)

1. $\sqrt{\frac{4\pi {ϵ}_{0}F{d}^2}{e^2}}$
2. $\frac{4\pi {ϵ}_{0}F{d}^2}{e^2}$
3. $\sqrt{\frac{4\pi {ϵ}_{0}F{e}^2}{d^2}}$
4. $\frac{4\pi {ϵ}_{0}F{d}^2}{q^2}$

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

Q. A point charge is taken from a point A to point B in an electric field produced by stationary charges. Does the work done by the electric field depend on the path of the charge?

1. Yes
2. No

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