Question

The elcectro static potential energy between proton and electron separated by a distance $1A^0$ is

• A. $13.6eV$
• B. $-13.6eV$
• C. $14.4eV$
• D. $-14.4eV$

Answer 1

The correct option is A $13.6eV$

The electro static potential energy between proton and electron distance $=1A^0=1\times {10}^{-10}m$

$U=\frac{1}{4\pi {ϵ}_0}\frac{q_1{q}_2}{r}$

$=\frac{9\times {10}^9\times 1.6\times {10}^{-19}\times 1.6\times {10}^{-19}}{{10}^{-10}}$

$=13.6eV$

$\because$ $(1eV=1.6\times {10}^{-19}J)$