JEE Main & Advanced Sample Paper JEE Main Sample Paper-29

  • question_answer
    A hydrogen atom and \[L{{i}^{++}}\] ion are both in the second excited state. If \[{{L}_{H}}\] and \[{{L}_{Li}}\] are their respective electronic angular momenta, and \[{{E}_{H}}\] and \[{{E}_{Li}}\] their respectvie energies, then :

    A) \[{{L}_{H}}>{{L}_{Li}}\] and \[\left| {{E}_{H}} \right|>\left| {{E}_{Li}} \right|\]

    B) \[{{L}_{H}}={{L}_{Li}}\] and \[\left| {{E}_{H}} \right|<\left| {{E}_{Li}} \right|\]

    C) \[{{L}_{H}}={{L}_{Li}}\],and \[\left| {{E}_{H}} \right|>\left| {{E}_{Li}} \right|\]

    D) \[{{L}_{H}}<{{L}_{Li}}\] and \[\left| {{E}_{H}} \right|<\left| {{E}_{Li}} \right|\]

    Correct Answer: C

    Solution :

                    n = 3 for sec. excited state \[{{x}^{2}}=6y,\] \[y=mx-\frac{3}{2}\,{{m}^{2}}\]


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