NEET Sample Paper NEET Sample Test Paper-47

  • question_answer
    A hydrogen atom is in excited state of principal quantum number n. It emits a photon of wavelength\[\lambda \], when returns to ground state. The value of n is:

    A) \[\sqrt{\lambda \operatorname{R}\left( \lambda \operatorname{R}-1 \right)}\]          

    B) \[\sqrt{\frac{\lambda \operatorname{R}-1}{\lambda \operatorname{R}}}\]

    C) \[\sqrt{\frac{\lambda \operatorname{R}}{\lambda \operatorname{R}-1}}\]             

    D) \[\sqrt{\lambda \left( \operatorname{R}-1 \right)}\]

    Correct Answer: C

    Solution :

    \[\frac{1}{\lambda }=\operatorname{R}\left[ 1-\frac{1}{{{n}^{2}}} \right]\] \[\frac{1}{\lambda \operatorname{R}}=1-\frac{1}{{{n}^{2}}}\] \[\frac{1}{{{n}^{2}}}=1-\frac{1}{\lambda \operatorname{R}}\] \[{{n}^{2}}=\frac{\lambda \operatorname{R}}{\lambda \operatorname{R}-1}\] \[{{n}^{2}}=\sqrt{\frac{\lambda \operatorname{R}}{\lambda \operatorname{R}-1}}\]


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