JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The energy of electron in the nth orbit of hydrogen   atom   is   expressed   as \[\sqrt{3}cm\]. The shortest and longest wavelength of Lyman series will be :

    A) \[\left( \eta =\text{2}\times \text{1}{{0}^{-\text{4}}}\text{Ns}/{{\text{m}}^{\text{2}}} \right):\]

    B)  \[6.6\times {{10}^{-6}}N\]

    C)  \[6.6\times {{10}^{-5}}N\]

    D)  none of these

    Correct Answer: A

    Solution :

                    Energy of electron in nth orbit of hydrogen atom is : \[\text{14 }\times \,\,\text{1}{{0}^{\text{4}}}\text{ K}\] \[\text{1 km}/{{\text{s}}^{\text{2}}}\] \[\text{1}00\text{ m}/{{\text{s}}^{\text{2}}}\] Now for shortest wavelength in Lyman series, the transition of atom takes place from infinity to n = 1 i.e.,        \[\text{1}0\text{ m}/{{\text{s}}^{\text{2}}}\] \[\text{1}\,\text{m}/{{\text{s}}^{\text{2}}}\]     \[\sqrt{98}m/s\] \[\sqrt{\text{49}0}\text{ m}/\text{s}\] \[\sqrt{\text{4}\text{.9}}\text{ m}/\text{s}\] Again for longest wavelength in Lyman series, the transition of electron is from \[8\sqrt{3}\] \[2\sqrt{3}cm\] \[\sqrt{3}cm\]   \[\left( \eta =\text{2}\times \text{1}{{0}^{-\text{4}}}\text{Ns}/{{\text{m}}^{\text{2}}} \right):\] \[6.6\times {{10}^{-6}}N\] \[6.6\times {{10}^{-5}}N\] \[1.32\times {{10}^{-7}}N\] \[13.2\times {{10}^{-7}}N\]        


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