JEE Main & Advanced Sample Paper JEE Main Sample Paper-17

  • question_answer
    The ionization energy of \[\text{H}{{\text{e}}^{\text{+}}}\]is \[\text{19}\text{.6}\times {{10}^{-18}}\text{J}\]\[\text{ato}{{\text{m}}^{-1}}\]The energy of the first stationary state of \[\text{L}{{\text{i}}^{\text{+2}}}\]will be

    A) \[21.2\times {{10}^{-18}}\,\text{J/atom}\]

    B)  \[44.10\times {{10}^{-18}}\,\text{J/atom}\]

    C)  \[63.2\times {{10}^{-18}}\,\text{J/atom}\]

    D)  \[84.2\times {{10}^{-18}}\,\text{J/atom}\]

    Correct Answer: B

    Solution :

     \[{{\text{E}}_{\text{1}}}\]for \[\text{L}{{\text{i}}^{+2}}={{E}_{1}}\]for\[H\times Z_{Li}^{2}={{E}_{1}}\]for \[H\times 9\] Also, \[{{E}_{1}}\]for \[H{{e}^{+}}={{E}_{1}}\]for \[H\times Z_{He}^{2}={{E}_{1}}\]for \[H\times 4\] or \[{{E}_{1}}\]for \[L{{i}^{+2}}=\frac{9}{4}{{E}_{1}}\]for \[H{{e}^{+}}\] \[=19.6\times {{10}^{-18}}\times \frac{9}{4}\] \[=44.10\times {{10}^{-18}}\,\text{J/atom}\]


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