J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    Calculate the wavelength associated with an electron moving with a velocity of \[{{10}^{6}}\,m/s\](mass   of   electron \[=9.1\times {{10}^{-31}}\,kg,\]\[h=6.6\times {{10}^{-34}}\,kg\,{{m}^{2}}\,{{s}^{-1}}\])

    A)  \[6.2\times {{10}^{-8}}\,m\]

    B) \[7.25\times {{10}^{-8}}\,m\]

    C)  \[6.25\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D)  None of the above

    Correct Answer: B

    Solution :

     According to de-Broglie equation \[\lambda =\frac{h}{mv}\] \[=\frac{6.6\times {{10}^{-34}}kg\,{{m}^{2}}{{s}^{-1}}}{9.1\times {{10}^{-31}}kg\times {{10}^{6}}m{{s}^{-1}}}\] \[=0.725\times {{10}^{-9}}m\] \[=7.25\times {{10}^{-10}}\,m\]


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