Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    An electron beam has a kinetic energy equal to 100 eV. Find its wavelength associated with a beam, if mass of electron \[=9.1\times {{10}^{-31}}\]kg and 1 eV\[=1.6\times {{10}^{-19}}\]J/eV   (Planck's   constant \[=6.6\times {{10}^{-34}}\text{J-s})\]

    A) \[6.3\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    B) \[3.8\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[24.6\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[0.12\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: B

    Solution :

    de-Broglie's wavelength associated with a charged particle,  \[\lambda =\frac{h}{\sqrt{2mKE}}\] \[=\frac{6.6\times {{10}^{-34}}}{\sqrt{2\times 9.1\times {{10}^{-31}}\times 10\times 1.6\times {{10}^{-19}}}}\]\[=3.8\overset{\text{o}}{\mathop{\text{A}}}\,\]


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