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JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Matter Waves

  • question_answer
    If the de-Broglie wavelengths for a proton and for a \[\alpha -\]particle are equal, then the ratio of their velocities will be                                                                                       [NCERT 1972]

    A)            4 : 1                                          

    B)            2 : 1

    C)            1 : 2                                          

    D)            1 : 4

    Correct Answer: A

    Solution :

               \[\lambda =\frac{h}{{{m}_{1}}{{v}_{1}}}=\frac{h}{{{m}_{2}}{{v}_{2}}};\ \ \therefore \ \ \frac{{{v}_{1}}}{{{v}_{2}}}=\frac{{{m}_{2}}}{{{m}_{1}}}=\frac{4}{1}\]


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