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

  • question_answer
    Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is         [AIPMT (S) 2012]

    A)  \[\text{4 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{15}}}\,{{\text{H}}_{\text{Z}}}\]        

    B)       \[5\times {{10}^{15}}\,{{H}_{Z}}\]

    C)  \[1.6\times {{10}^{15}}\,{{H}_{Z}}\] 

    D)       \[2.5\times {{10}^{15}}\,{{H}_{Z}}\]

    Correct Answer: C

    Solution :

    Energy released from emission of electron
    \[E=(-3.4)-(-13.6)\]
    \[=10.2\,eV\]
    From photo electric equation. Work function
    \[\phi =E-eV=hv\]
    \[v=\frac{E-eV}{h}\]
    \[=\frac{(10.2-3.57)e}{6.67\times {{10}^{-34}}}\]
    \[v=\frac{6.63\times 1.6\times {{10}^{-19}}}{6.67\times {{10}^{-34}}}\]
    \[=1.6\times {{10}^{15}}Hz\]


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