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JEE Main 2014 (9 Apr, Shift 1) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from JEE Main 2014 (9 Apr, Shift 1)

Q46JEE Main 2014 · 9 APR · SHIFT 1Medium

Energy of the Electron & Energy Levels

If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li++ is:

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Answer: (b)

Energy to remove electron from level $n$ : $13.6\,\frac{Z^2}{n^2}$ eV.
Li $^{++}$ : $Z = 3$ , first excited $n = 2$ : $13.6 \times \frac{9}{4} = 30.6$ eV
So the answer is (b) $30.6$ eV.

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