JEE Main & Advanced Chemistry Structure of Atom Question Bank Critical Thinking

  • question_answer The frequency of one of the lines in Paschen series of hydrogen atom is \[2.340\times {{10}^{11}}Hz.\] The quantum number \[{{n}_{2}}\] which produces this transition is    [DPMT 2001]

    A)                 6             

    B)                 5

    C)                 4             

    D)                 3

    Correct Answer: B

    Solution :

               \[\overline{\nu }=\frac{1}{\lambda }={{R}_{H}}\left[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right]\]                                 \[=\frac{1}{\lambda }={{R}_{H}}\left[ \frac{1}{{{3}^{2}}}-\frac{1}{n_{2}^{2}} \right]={{n}_{2}}=3\]  for Paschen series.

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