Uttarakhand PMT Uttarakhand PMT Solved Paper-2011

  • question_answer
    The ionisation energy of hydrogen atom in the ground state is\[x\text{ }kJ\]. The energy required for an electron to jump from 2nd orbit to 3rd orbit is

    A)  \[\frac{5x}{36}\]

    B)  \[5x\]

    C)  \[7.2\,x\]

    D)  \[\frac{x}{6}\]

    Correct Answer: A

    Solution :

     Energy of electron in Und orbit \[({{E}_{2}})=\frac{-x}{{{2}^{2}}}=\frac{-x}{4}kJ\] Energy of electron in the IIIrd orbit \[({{E}_{3}})=\frac{-x}{{{3}^{2}}}=-\frac{x}{9}kJ\] Energy required for jump from Und to IIIrd orbit \[={{E}_{3}}-{{E}_{2}}\] \[=-\frac{x}{9}-\left( -\frac{x}{4} \right)\] \[=\frac{x}{4}-\frac{x}{9}=\frac{5x}{36}kJ\]


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