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JEE Main 2023 (31 Jan, Shift 2) · Energy of the Electron & Energy Levels

Energy of the Electron & Energy Levels question from JEE Main 2023 (31 Jan, Shift 2)

Q27JEE Main 2023 · 31 JAN · SHIFT 2Medium

Energy of the Electron & Energy Levels

If the binding energy of ground state electron in a hydrogen atom is $13.6\text{ eV}$ , then, the energy required to remove the electron from the second excited state of $\text{Li}^{2+}$ will be: $x \times 10^{-1}\text{ eV}$ . The value of $x$ is ________.

Numerical answer type. Work it out, then open the answer.

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Answer: 136

Li $^{2+}$ : $Z = 3$ ; second excited state $n = 3$ .
Energy required $= 13.6 \times \frac{9}{9} = 13.6$ eV $= 136 \times 10^{-1}$ eV
So $x = 136$ .

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