RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    The mass of a photon with wavelength \[3.6\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\] is

    A) \[6.135\times {{10}^{-19}}\]                       

    B)        \[5.6135\times {{10}^{-29}}\]

    C)        \[6.100\times {{10}^{-19}}\]                       

    D)        \[6.135\times {{10}^{-29}}\]

    Correct Answer: D

    Solution :

    Here,\[\lambda =3.6\overset{\text{o}}{\mathop{\text{A}}}\,=3.6\times {{10}^{-10}}m.\] As photon travels with the velocity of light,                 \[v=3.0\times {{10}^{8}}m{{s}^{-1}}\] By de-Broglie equation,\[\lambda =\frac{h}{mv}\] or            \[m=\frac{h}{\lambda v}=\frac{6.626\times {{10}^{-34}}J\,\,s}{(3.6\times {{10}^{-10}}m)(3.0\times {{10}^{8}}m{{s}^{-1}})}\]                 \[=6.135\times {{10}^{-29}}kg\]


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