NEET Physics Photo Electric Effect, X- Rays & Matter Waves NEET PYQ-Photo Electric Effect,X-Rays

  • question_answer
    An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength   so   emitted   illuminates   a photo-sensitive material having work function\[2.75\text{ }eV\]. If the stopping potential of the photo-electron is 10 V, the value of n is                                                                                                                [AIPMT (M) 2011]

    A)  3

    B)  4                    

    C)  5                    

    D)       2

    Correct Answer: A

    Solution :

    \[{{V}_{0}}=\frac{E-V}{e}\]
    \[=\frac{h(v-{{v}_{0}})}{e}\]
    \[=\frac{6.62\times {{10}^{-34}}(8.2\times {{10}^{14}})(8.2\times {{10}^{14}})-3.3\times {{10}^{14}})}{1.6\times {{10}^{-19}}}\]        \[=\frac{6.62\times {{10}^{-34}}}{1.6}\times 4.9\times {{10}^{33}}\]
    \[=\frac{6.62\times 4.9\times {{10}^{-1}}}{1.6}\]
    \[{{V}_{0}}=2\,volt\]


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