JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Self Evaluation Test - Dual Nature of Radiation and Matter

  • question_answer
    A parallel beam of electrons travelling in x-direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum p in the y-direction then for a majority of electrons passing through the slit (h is Planck's constant):    

    A) \[|{{P}_{y}}|>h\]

    B) \[|{{P}_{y}}|<h\]

    C) \[|{{P}_{y}}|=h\]

    D) \[|{{P}_{y}}|>>h\,\]

    Correct Answer: A

    Solution :

    [a] From Bragg's equation \[d\sin \theta =\lambda \text{          }\sin \theta =\frac{\lambda }{d}<1\] \[\therefore \lambda <d\] \[\frac{h}{|{{p}_{y}}|}<d\left[ \because \lambda =\frac{h}{|{{p}_{y}}|} \right]\] \[\therefore h<|{{p}_{y}}|d\]


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