Energy required for the electron excitation in Li^ ++ from the first to the third Bohr orbit is :

Correct answer: B. 108.8 eV E_n=-13.6 (Z^2)/(n^2) E_ L ^ * * =-13.6 × (9)/(1)=-122.4 eV E_ L ^ * * =-13.6 × (9)/(9)=-13.6 eV Δ E=-13.6-(-122.4) =108.8 eV

JEE Main 2011

Exam: JEE Main
Year: 2011
Subject: Physics
Chapter: Atomic Physics

JEE Main 2011 · Physics · Atomic Physics

Energy required for the electron excitation in Li^ ++ from the...

Energy required for the electron excitation in

\mathrm{Li}^{++}

from the first to the third Bohr orbit is :

Options

A $36.3 \mathrm{eV}$
B $108.8 \mathrm{eV}$
C $122.4 \mathrm{eV}$
D $12.1 \mathrm{eV}$

Correct answer

B. $108.8 \mathrm{eV}$

Step-by-step 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}

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