AMU Medical AMU Solved Paper-2007

  • question_answer
    A material particle with a rest mass mo is moving with speed of light c. The de-Broglie wavelength associated is given by

    A)  \[\frac{h}{{{m}_{0}}c}\]                               

    B)  \[\frac{{{m}_{0}}c}{h}\]

    C)  Zero                                     

    D)  infinity

    Correct Answer: C

    Solution :

                     \[\lambda =\frac{h}{mv}\] where, \[m=\frac{{{m}_{0}}}{\sqrt{1-\frac{{{v}^{2}}}{{{c}^{2}}}}}\] As v = c, then \[\Rightarrow \]               \[m=\frac{{{m}_{0}}}{\sqrt{1-\frac{{{c}^{2}}}{{{c}^{2}}}}}\]                 \[=\frac{{{m}_{0}}}{\sqrt{1-1}}=\frac{{{m}_{0}}}{0}\] \[\Rightarrow \]               \[m=\infty \], Hence,  \[\lambda =\frac{h}{\infty }=0\]


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