RAJASTHAN PMT Rajasthan - PMT Solved Paper-2011

  • question_answer
    A particle of mass\[10\times {{10}^{-12}}\] kg is moving with a velocity \[6\times {{10}^{-7}}\]m/s Its de-Broglie wavelength is nearly

    A)  \[\text{1}{{\text{0}}^{\text{-20}}}\,\text{m}\]                                 

    B)  \[\text{1}{{\text{0}}^{\text{-16}}}\,\text{m}\]

    C)  \[\text{1}{{\text{0}}^{\text{-12}}}\,\text{m}\]                 

    D)         \[\text{1}{{\text{0}}^{\text{-8}}}\,\text{m}\]

    Correct Answer: B

    Solution :

    Given,   \[m=11\times {{10}^{-12}}kg\] and        \[v=6\times {{10}^{-7}}\,\,m/s\] de-Broglie wavelength                 \[\lambda =\frac{h}{mv}\]                 \[\lambda =\frac{6.67\times {{10}^{-34}}}{11\times {{10}^{-12}}\times 6\times {{10}^{-7}}}\]                 \[\lambda =\frac{1}{10}\times {{10}^{-15}}={{10}^{-16}}m\]


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