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JEE Main & Advanced Sample Paper JEE Main Sample Paper-7

  • question_answer
    The kinetic energies associated with a proton, an electron and an alpha particle each having the same de-Broglie wavelength are \[{{E}_{1}},\,{{E}_{2}}\] and \[{{E}_{3}}\] respectively. Then

    A)  \[{{E}_{1}}>{{E}_{2}}>{{E}_{3}}\]                             

    B)  \[{{E}_{1}}<{{E}_{2}}<{{E}_{3}}\]

    C)  \[{{E}_{1}}>{{E}_{3}}>{{E}_{2}}\]                             

    D)  \[{{E}_{2}}>{{E}_{1}}>{{E}_{3}}\]

    Correct Answer: D

    Solution :

    \[\lambda =\frac{h}{p}=\frac{h}{\sqrt{2mE}}\]\[\Rightarrow \,E=\frac{{{h}^{2}}}{2m{{\lambda }^{2}}}\propto \frac{1}{m}\]


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