Question

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

• A. $\frac{4\pi {\in }_{0}F{d}^2}{q^2}$
• B. $\frac{4\pi {\in }_{0}F{d}^2}{e^2}$
• C. $\sqrt{\frac{4\pi {\in }_{0}F{e}^2}{d^2}}$
• D. $\sqrt{\frac{4\pi {\in }_{0}F{d}^2}{e^2}}$

Answer 1

Two positive ions each carrying a charge $q$ are kept at a distance $d$,

it is found that force of repulsion between them is

$\begin{array}{c}F=\frac{kqq}{d^2}\\ =\frac{1}{4\pi E_0}\frac{qq}{d^2}\\ whereq=ne\\ F=\frac{1}{4\pi E_0}\frac{n^2{e}^2}{d^2}\\ n=\sqrt{\frac{4\pi E_{0}F{d}^2}{e^2}}\end{array}$