Atoms Ques 26

26. Energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E=-13.6 / n^{2} eV$. The energy of photon ejected when the electron jumps from $n=3$ state to $n=2$ state of hydrogen is approximately

(a) $1.9 eV$.

(b) $1.5 eV$.

(c) $0.85 eV$

(d) $3.4 eV$

[2004]

Show Answer

Answer:

Correct Answer: 26.(a)

Solution:

  1. (a) $\Delta E=E_3-E_2$

$=\frac{-13.6}{3^{2}}+\frac{13.6}{2^{2}}$

$=13.6{{\frac{1}{4}-\frac{1}{9}}} eV=1.9 eV$