Q. 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 $Li^{2 +}$ is

A) 30.6$\ eV$
B) 13.6$\ eV$
C) 3.4$\ eV$
D) 122.4$\ eV$
Explanation

(a) $E\ = \ - \ Z^{2}\frac{13.6}{n^{2}}eV$
For first excited state,
$\ \ \ \ \ \ \ \ \ \ E_{2}\ = \ - 3^{2} \times \frac{13.6}{4}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \ - 30.6\ eV$
Ionisation energy for first excited state of $Li^{2 +}$ is 30.6 eV.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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