Energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E=\frac{-13.6}{n^2}…

Energy $E$ of a hydrogen atom with principal quantum number $n$ is given by $E=\frac{-13.6}{n^2} \mathrm{eV}$. The energy of a photon ejected when the electron jumps for $n=3$ state $n=2$ state of hydrogen is approximately
  1. $1.5 \mathrm{eV}$
  2. $0.85 \mathrm{eV}$
  3. $3.4 \mathrm{eV}$
  4. $1.9 \mathrm{eV}$

Solution

Energy of photon $=E_2-E_2$ $\begin{gathered} =\frac{13.6}{9}-\left(\frac{-13.6}{9}\right)=\frac{5}{30} \times 13.6 \\ =1.9 \mathrm{eV} \end{gathered}$

Asked in: NEET 2004

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