Punjab Medical Punjab - MET Solved Paper-2007

  • question_answer
    If the momentum of an electron is changed by\[{{\Delta }_{p}}\], then the de-Broglie wavelength associated with it changes by\[0.50%\]. The initial momentum of the electron will be

    A) \[\frac{\Delta p}{200}\]                                

    B) \[\frac{\Delta p}{199}\]

    C) \[199\,\,\Delta p\]                          

    D) \[400\,\,\Delta p\]

    Correct Answer: C

    Solution :

    \[\lambda =\frac{h}{p}\Rightarrow \,\,\,\,\lambda -\frac{0.5}{100}\lambda =\frac{h}{p+\Delta p}\] or            \[\frac{199\lambda }{200}=\frac{h}{p+\Delta p}=\frac{199}{200}\frac{h}{p}\] \[\Rightarrow \]               \[p+\Delta p=\frac{200}{199}p\] \[\Rightarrow \]               \[p=199\Delta p\]


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