CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2008

  • question_answer
    If an electron and a proton have the same de Broglie wavelength, then the kinetic energy of the electron is

    A)                  zero

    B)  less than that of a proton

    C)  more than that of a proton

    D)  equal to that of a proton

    Correct Answer: C

    Solution :

    Given,   \[\lambda =\frac{h}{mv}=\frac{h}{\sqrt{2mKE}}\] \[\Rightarrow \]               \[KE=\frac{{{h}^{2}}}{2m{{\lambda }^{2}}}\] As \[\lambda \] is same for both electron and proton So,          \[KE\propto \frac{1}{m}\] Hence, kinetic energy will be maximum for particle with lesser mass, ie, electron.


You need to login to perform this action.
You will be redirected in 3 sec spinner