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

  • question_answer
    What will be the ratio of de-Broglie wavelengths of proton and \[\alpha -\]particle of same energy [RPET 1991, 96; DCE 2002; Kerala PET 2005]

    A)            2 : 1                                          

    B)            1 : 2

    C)            4 : 1                                          

    D)            1 : 4

    Correct Answer: A

    Solution :

               \[\lambda =\frac{h}{\sqrt{2mE}}\Rightarrow \lambda \propto \frac{1}{\sqrt{m}}\Rightarrow \frac{{{\lambda }_{p}}}{{{\lambda }_{\alpha }}}=\sqrt{\frac{{{m}_{\alpha }}}{{{m}_{p}}}}=\frac{2}{1}\]


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