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Question: Potential energy of electron present in He<sup>+</sup> is –...

Potential energy of electron present in He+ is –

A

e22πε0r\frac{e^{2}}{2\pi\varepsilon_{0}r}

B

3e24πε0r\frac{3e^{2}}{4\pi\varepsilon_{0}r}

C

−2e24πε0r\frac{- 2e^{2}}{4\pi\varepsilon_{0}r}

D

−e24πε0r2\frac{- e^{2}}{4\pi\varepsilon_{0}r^{2}}

Answer

−2e24πε0r\frac{- 2e^{2}}{4\pi\varepsilon_{0}r}

Explanation

Solution

P.E. = 14πε0\frac { 1 } { 4 \pi \varepsilon _ { 0 } } (+ze)(−e)r\frac{( + ze)( - e)}{r}

= 14πε0\frac { 1 } { 4 \pi \varepsilon _ { 0 } } (+2e)(−e)r\frac{( + 2e)( - e)}{r}=e22πε0r\frac{e^{2}}{2\pi\varepsilon_{0}r}