Energy required for the electron excitation in $\mathrm{Li}^{++}$from the first to the third Bohr orbit is :

Energy required for the electron excitation in $\mathrm{Li}^{++}$from the first to the third Bohr orbit is :
  1. $36.3 \mathrm{eV}$
  2. $108.8 \mathrm{eV}$
  3. $122.4 \mathrm{eV}$
  4. $12.1 \mathrm{eV}$

Solution

$E_n=-13.6 \frac{Z^2}{n^2}$ $E_{\mathrm{L}}{ }^{* *}=-13.6 \times \frac{9}{1}=-122.4 \mathrm{eV}$ $E_{\mathrm{L}}{ }^{* *}=-13.6 \times \frac{9}{9}=-13.6 \mathrm{eV}$ $\Delta E=-13.6-(-122.4)$ $=108.8 \mathrm{eV}$

Asked in: JEE Main 2011

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