JEE Main & Advanced Physics EM Waves Question Bank Mock Test - Electromagnetic Waves and Dual Nature

  • question_answer
    Which of the following is not a possible de-Broglie's wavelength of a particle, which moves inside a cubical box of side length L, without losing any energy (elastically colliding with walls of cube)?

    A)      

    B)

    C)  

    D) All of these

    Correct Answer: D

    Solution :

    [d] Longest wavelength is specified by \[\lambda =2L.\]next by \[\lambda =L.\] Then \[\lambda =L\times \frac{2}{3}.\]etc. In general \[{{\lambda }_{n}}=\frac{2L}{n},n=1,2,3...\] For (1) \[\lambda =\frac{2L}{3}\] For (2) \[\lambda =L\] For (3) \[\lambda =2L.\] Hence, all are possible.


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