Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2011

  • question_answer
    In terms of Rydberg's constant R, the wave number of the first Balmer line is

    A) \[R\]                                     

    B) \[\frac{3R}{4}\]

    C) \[\frac{5R}{36}\]                                              

    D) \[\frac{8R}{9}\]

    Correct Answer: C

    Solution :

    According to Bohr's principal wave number is \[\bar{v}=R\left( \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right)\] From Blamers? first line \[{{n}_{1}}=2,\] \[{{n}_{2}}=3\]                 \[\bar{v}=R\left( \frac{1}{{{2}^{2}}}-\frac{1}{{{3}^{2}}} \right)\]                 \[=\frac{5R}{36}\]


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