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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Critical Thinking

  • question_answer
    A Hydrogen atom and a \[L{{i}^{++}}\] 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 respective energies, then          [IIT-JEE (Screening) 2002]

    A)            \[{{l}_{H}}>{{l}_{Li}}\,\text{ and }|{{E}_{H}}|>|{{E}_{Li}}|\]              

    B)            \[{{l}_{H}}={{l}_{Li}}\text{ and }|{{E}_{H}}|<|{{E}_{Li}}|\]

    C)            \[{{l}_{H}}={{l}_{Li}}\text{ and }|{{E}_{H}}|>|{{E}_{Li}}|\] 

    D)            \[{{l}_{H}}<{{l}_{Li}}\text{ and }|{{E}_{H}}|<|{{E}_{Li}}|\]

    Correct Answer: B

    Solution :

               In second excited state n = 3 So \[{{l}_{H}}={{l}_{Li}}=3\left( \frac{h}{2\pi } \right)\] While E µ Z2 and ZH = 1, ZLi = 3 So |ELi| = 9|EH| or |EH|<|ELi|


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