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NEET Sample Paper NEET Sample Test Paper-3

  • question_answer
    In the hydrogen atom spectrum \[{{\lambda }_{3}}-1\] and \[{{\lambda }_{2}}-1\] represent wavelengths emitted due to transition from second and first excited status to the ground state respectively. The value of \[\frac{{{\lambda }_{3}}-1}{{{\lambda }_{2}}-1}\] is:

    A)  \[\frac{27}{32}\]               

    B)  \[\frac{32}{27}\]

    C)  \[\frac{4}{9}\]                       

    D)  \[\frac{9}{4}\]

    Correct Answer: A

    Solution :

        As we know that \[\frac{1}{{{\lambda }_{3-1}}}=\left( \frac{1}{{{1}^{2}}}-\frac{1}{{{3}^{2}}} \right)=\frac{8R}{9}\] and      \[\frac{1}{{{\lambda }_{2}}-1}=R\left( \frac{1}{12}-\frac{1}{{{2}^{2}}} \right)=\frac{3R}{4}\] \[\Rightarrow \]               \[\frac{{{\lambda }_{3}}-1}{{{\lambda }_{2}}-1}=\frac{27}{32}\] 


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