JEE Main & Advanced JEE Main Paper (Held On 15 April 2018) Slot-II

  • question_answer
    If the de Broglie wavelengths associated with a proton and an \[\alpha -particle\]are equal, then the ratio of velocities of the proton and the \[\alpha -particle\] will be:                              [JEE Online 15-04-2018 (II)]

    A) \[1:4\]                  

    B) \[1:2\]  

    C) \[4:1\]                  

    D)          \[2:1\]

    Correct Answer: C

    Solution :

    Given de Broglie Wavelength \[{{\lambda }_{p}}={{\lambda }_{\alpha }}\] So, \[\frac{h}{{{m}_{p}}\times {{v}_{p}}}=\frac{h}{{{m}_{\alpha }}\times {{v}_{\alpha }}}\] \[\frac{{{v}_{p}}}{{{v}_{\alpha }}}=\frac{{{m}_{\alpha }}}{{{m}_{p}}}=\frac{4{{m}_{p}}}{{{m}_{p}}}\]         Because Mass of \[\alpha -particle\] is 4 times mass of proton So 4:1 Option C is correct answer


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