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JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Atomic models and Planck's quantum theory

  • question_answer
    The energy of second Bohr orbit of the hydrogen atom is ?328 kJ mol?1, hence the energy of fourth Bohr orbit would be [CBSE PMT 2005]

    A)                 ? 41 kJ mol?1      

    B)                 ?1312 kJ mol?1

    C)                 ?164 kJ mol?1    

    D)                 ? 82 kJ mol?1

    Correct Answer: D

    Solution :

               \[\frac{{{E}_{4}}}{{{E}_{2}}}=\frac{{{2}^{2}}}{{{4}^{2}}}=\frac{4}{16}=\frac{1}{4}\];\[{{E}_{4}}=\frac{{{E}_{2}}}{4}=\frac{-328}{4}=-82\,\,kJ/mol.\]


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