Q.
The energy of an electron in first Bohr orbit of H-atom is $- 13.\ 6$ eV. The possible energy value of electron in the excited state of $Li^{2 +}$ is
A) $- 122.4$ eV
B) $30.6$ eV
C) $- 30.6$ eV
D) $13.6$ eV
Explanation
(c)
$E_{n} = \frac{E_{1}}{n^{2}} \times Z^{2}$
$= \frac{- 13.6}{4} \times 9 = - 30.6\ eV$
(for the excited state, $n = 2$ and for $Li^{2 +}$ion, $Z = 3$)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.