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JEE Main 2023 (11 Apr, Shift 2) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from JEE Main 2023 (11 Apr, Shift 2)

Q23JEE Main 2023 · 11 APR · SHIFT 2Easy

Energy of the Electron & Energy Levels

The energy of $\text{He}^+$ ion in its first excited state is, (The ground state energy for the Hydrogen atom is $-13.6\text{ eV})$ :

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Answer: (a)

$E_n = -13.6\,\frac{Z^2}{n^2}$ eV; for He $^+$ , $Z = 2$ , first excited state $n = 2$ .
$E_2 = -13.6 \times \frac{4}{4} = -13.6$ eV
So the answer is (a) $-13.6$ eV.

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