Q133 / 200 · NEET 2004 · Physics

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

  • A
    $1.5 \mathrm{eV}$
  • B
    $0.85 \mathrm{eV}$
  • C
    $3.4 \mathrm{eV}$
  • Correct answer
    D
    $1.9 \mathrm{eV}$

Solution

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

Hence, the correct answer is option: 'D'.

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