EAMCET Medical EAMCET Medical Solved Paper-2005

  • question_answer
    What is the lowest energy of the spectral, line emitted by the hydrogen atom in the Lyman series? (h=Plancks constant, c = Velocity of light, R =  Rydbergs constant).

    A)  \[\frac{5hcR}{36}\]                        

    B)  \[\frac{4hcR}{3}\]

    C)  \[\frac{3hcR}{4}\]                          

    D)   \[\frac{7hcR}{144}\]

    Correct Answer: C

    Solution :

                     We know that, \[\Delta E=hc.R\left[ \frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}} \right]\] For lowest energy, spectral line in Lyman series, \[{{n}_{1}}=1,{{n}_{2}}=2.\] Hence, \[\Delta E=hc.R\left[ \frac{1}{{{1}^{2}}}-\frac{1}{{{2}^{2}}} \right]\] \[\Delta E=\frac{3hcR}{4}\]


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