JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Sample Paper Topic Test - Structure of Atom

  • question_answer
    A hydrogen atom in the ground state is excited by monochromatic radiation of wavelength \[\lambda \overset{o}{\mathop{A}}\,\].  The resulting spectrum consists of maximum 15 different lines. What is the wavelength \[\lambda \]?

    A) \[937.3\,\overset{o}{\mathop{A}}\,\]

    B) \[1025\,\overset{o}{\mathop{A}}\,\]

    C) \[1236\,\overset{o}{\mathop{A}}\,\]

    D) None of these

    Correct Answer: A

    Solution :

    [a] Total number of spectral lines given by
    \[\frac{1}{2}[n-1]\times n=15\];   \[\therefore \,\,\,n=16\]
    Thus, electron is excited upto 6th energy level from ground state. Therefore,
    \[\frac{1}{\lambda }={{R}_{H}}\left[ \frac{1}{{{1}^{2}}}-\frac{1}{{{n}^{2}}} \right]=109737\times \frac{35}{36}\];
    \[\lambda =9.373\times {{10}^{-6}}\,cm=937.3\,\overset{o}{\mathop{A}}\,\]


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