AMU Medical AMU Solved Paper-2001

  • question_answer
    A ball of mass m travelling with a certain volecity has a kinetic energy KE. Then the de-Broglie wavelength associated with the ball is

    A)  it is only associated with atomic particles

    B)  \[\frac{h}{2KEm}\]                        

    C)  \[\sqrt{\frac{h}{2KEm}}\]                           

    D)  \[\frac{h}{\sqrt{2KEm}}\]

    Correct Answer: D

    Solution :

                     de-Broglie wavelength \[(\lambda )\] is given by                                 \[\lambda =\frac{h}{p}\]                                                              ?. (i) where h is Plancks constant, p the momentum. Kinetic energy \[KE=\frac{1}{2}m{{v}^{2}}=\frac{{{p}^{2}}}{2\,m}\]          ... (ii) where p is momentum. From Eq. (ii) \[p=\sqrt{2\,m\,KE}\] \[\therefore \]  \[\therefore \lambda =\frac{h}{\sqrt{2\,m\,KE}}\]


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