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JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • question_answer
    If the momentum of electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5%. The initial momentum of electron will be:

    A) 200P

    B) 400P

    C) \[\frac{P}{200}\]           

    D) 100P

    Correct Answer: A

    Solution :

    [a] The de-Broglie's wavelength associated with the moving electron \[\lambda =\frac{h}{p}\] Now, according to problem \[\frac{d\lambda }{\lambda }=-\frac{dp}{P};\text{ }\frac{0.5}{100}=\frac{P}{P'}\Rightarrow P'=200P\]


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