WB JEE Medical WB JEE Medical Solved Paper-2007

  • question_answer
    The ratio of the de-Broglie wavelength of an \[\alpha -\]particle and a proton of same kinetic energy is

    A)  1:2                                        

    B)  1:1

    C)  \[1:\sqrt{2}\]                                   

    D)  4 : 1

    Correct Answer: A

    Solution :

                     de - Broglie wavelength, \[\lambda =\frac{h}{\sqrt{2m{{E}_{k}}}}\]  \[\frac{{{\lambda }_{\alpha }}}{{{\lambda }_{p}}}=\sqrt{\frac{{{m}_{p}}}{{{m}_{\alpha }}}}\] \[=\sqrt{\frac{1}{4}}=\frac{1}{2}\]


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