VMMC VMMC Medical Solved Paper-2008

  • question_answer
    What should be the velocity of an electron so that its momentum becomes equal to that of a photon of wavelength \[5200\overset{\text{o}}{\mathop{\text{A}}}\,\]?

    A) 700 m/s              

    B) 1000 m/s                            

    C) 1400m/s             

    D) 2800 m/s

    Correct Answer: C

    Solution :

    Momentum, \[p=mv=\frac{h}{\lambda }\] \[v=\frac{h}{m\lambda }\]                           \[\therefore \]  \[v=\frac{6.62\times {{10}^{-34}}}{9.1\times {{10}^{-31}}\times 5.2\times {{10}^{-7}}}\]                 \[\Rightarrow \]               \[v=\frac{6.62\times {{10}^{4}}}{9.1\times 5.2}\]                 \[\Rightarrow \]               \[v=1.4\times {{10}^{3}}\,m/s\]                 \[\Rightarrow \]               \[v=1400\,m/s\]              


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