RAJASTHAN PMT Rajasthan - PMT Solved Paper-2005

  • question_answer
    The ionization potential of hydrogen atom is 13.6 volt. In the lowest energy level, this atom is ionized by absorbing a photon of \[800\,\overset{\text{o}}{\mathop{\text{A}}}\,\]. The kinetic energy of the released electron will be:

    A)  15.51 eV             

    B)         2.91 eV

    C)  13.6 eV               

    D)         1.91 eV

    Correct Answer: D

    Solution :

    The energy of incident photon in joules is \[=\frac{hc}{\lambda }=\frac{6.62\times {{10}^{-34}}\times 3\times {{10}^{-8}}}{800\times {{10}^{-10}}}\] \[=2.4825\times {{10}^{-18\,}}\text{J}\] The energy of the photon in eV is \[\frac{2.4825\times {{10}^{-18}}}{1.6\times {{10}^{-19}}}=15.51\,eV\] The minimum energy needed to ionize the atom = 13.6 eV Hence, KE of the emitted electron =15.51-13.6 =1.91eV


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