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, the number of electrons missing from each ion will be (c being, the charge of an electron).

• A. $\frac{x\times {10}^{-3}\sqrt{F}}{3e}$
• B. $\frac{x\times {10}^9\sqrt{F}}{9e^2}$
• C. $\frac{x\times {10}^{-4}\sqrt{F}}{9e^2}$
• D. $\frac{x\times {10}^5\sqrt{F{e}^2}}{9}$

Answer 1

Answer: (A)

$\frac{x\times {10}^{-3}\sqrt{F}}{3e}$

Force of repulsion is given by:

$F=\frac{k{q}^2}{x^2}$

Let number of electrons missing be$n$.

Now $F=\frac{9\times {10}^9\times {\left(ne\right)}^2}{x^2}$

${\left(ne\right)}^2=\frac{F{x}^2}{9\times {10}^9}$

$n^2=\frac{F{x}^2}{9\times {10}^9\times e^2}$

$n=\frac{x\sqrt{F}}{3\times {10}^3\times e}$