JEE Main & Advanced Chemistry Structure of Atom Question Bank Critical Thinking

  • question_answer In a Bohr's model of atom when an electron jumps from \[n=1\] to \[n=3\], how much energy will be emitted or absorbed                                                [CBSE PMT 1996]

    A)                 \[2.15\times {{10}^{-11}}erg\]   

    B)                 \[0.1911\times {{10}^{-10}}erg\]

    C)                 \[2.389\times {{10}^{-12}}erg\]                

    D)                 \[0.239\times {{10}^{-10}}erg\]

    Correct Answer: B

    Solution :

               According to Bohr?s model \[\Delta E={{E}_{1}}-{{E}_{3}}\]            \[=2.179\times {{10}^{-11}}-\frac{2.179\times {{10}^{11}}}{9}\]            \[=\frac{8}{9}\times 2.179\times {{10}^{-11}}\]\[=1.91\times {{10}^{-11}}\]\[=0.191\times {{10}^{-10}}erg\]                                 Since electron is going from \[n=1\] to \[n=3\] hence energy is absorbed.

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