JEE Main & Advanced Physics Atomic Physics Question Bank Topic Test - Atomic Physics

  • question_answer
    The extreme wavelengths of Paschen series are

    A) \[0.365\mu m\]and \[0.565\mu m\]

    B) \[0.818\mu m\]and \[1.89\mu m\]

    C) \[1.45\mu m\]and \[4.04\mu m\] 

    D) \[2.27\mu m\]and \[7.43\mu m\]

    Correct Answer: B

    Solution :

    (b) In Paschen series \[\frac{1}{{{\lambda }_{\max }}}=R\left[ \frac{1}{{{(3)}^{2}}}-\frac{1}{{{(4)}^{2}}} \right]\]
    Þ \[{{\lambda }_{\max }}=\frac{144}{7R}=\frac{144}{7\times 1.1\times {{10}^{7}}}=1.89\times {{10}^{-6}}m=1.89\,\mu m\]
    Similarly \[{{\lambda }_{\min }}=\frac{9}{R}=\frac{9}{1.1\times {{10}^{7}}}=0.818\,\mu m\]
     


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