Q. What is the energy (in eV) require to excite the electron from $n = 1\ to\ n = 2$ state in hydrogen atom? ($n$=principle quantum number)

A) 13.6
B) 3.4
C) 17.0
D) 10.2
Explanation

(d)
$\mathrm{\Delta}E = 13.6\ Z^{2}\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right)$
$= 13.6 \times (1)^{2}\left( \frac{1}{1} - \frac{1}{2^{2}} \right)$
$= 13.6\left( 1 - \frac{1}{4} \right)$
$= 13.6 \times \frac{3}{4} = 10.2eV$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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