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AP EAMCET · PHYSICS · Atomic Physics

If the bonding energy of the electron in a hydrogen atom is 13.6 eV , then energy required to remove electron from first excited state of \(\mathrm{Li}^{2+}\) is

  1. A 122.4 eV
  2. B 3.4 eV
  3. C 13.6 eV
  4. D 30.6 eV
Verified Solution

Answer & Solution

Correct Answer

(D) 30.6 eV

Step-by-step Solution

Detailed explanation

\(B . E=13.6 \mathrm{eV}=-E_1 \Rightarrow E_1=-13.6 \mathrm{eV}\) For \(\mathrm{Li}^{2+}, \mathrm{z}=3, \mathrm{n}_1=2, \mathrm{n}_2=\infty\) \(\therefore \quad \Delta \mathrm{E}=\mathrm{E}_{\infty}-\mathrm{E}_2=0-\left(-13.6 \times \frac{\mathrm{Z}^2}{\mathrm{~n}_1^2}\right)\)…