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CMC Medical CMC-Medical VELLORE Solved Paper-2010

  • question_answer
    The wavelength associated with an electron (mass \[9.1\times {{10}^{-31}}kg\]) moving with a velocity of \[{{10}^{3}}\]\[m{{s}^{-1}}\]\[(h=6.6\times {{10}^{-34}}kg\,{{m}^{2}}{{s}^{-1}})\]is

    A)  \[72.5\times {{10}^{-7}}m\]       

    B)  \[6.25\times {{10}^{-7}}m\]

    C)  \[7.25\times {{10}^{-7}}m\]                       

    D)  \[62.5\times {{10}^{-7}}m\]

    E)  None of these

    Correct Answer: C

    Solution :

                    \[\lambda =\frac{h}{mv}=\frac{6.6\times {{10}^{-34}}kg\,{{m}^{2}}{{s}^{-1}}}{(9.1\times {{10}^{-31}}kg)\times ({{10}^{3}}m{{s}^{-1}})}\]\[=7.25\times {{10}^{-7}}\,m\]


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