JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Atomic models and Planck's quantum theory

  • question_answer
    The mass of a photon with a wavelength equal to \[1.54\times {{10}^{-8}}cm\] is                                              [Pb. PMT 2004]

    A)                 \[0.8268\times {{10}^{-34}}kg\]

    B)                 \[1.2876\times {{10}^{-33}}kg\]

    C)                 \[1.4285\times {{10}^{-32}}kg\]

    D)                 \[1.8884\times {{10}^{-32}}kg\]

    Correct Answer: C

    Solution :

               We know that \[\lambda =\frac{h}{mv}\] ; \[\therefore \]  \[m=\frac{h}{m\lambda }\]                    The velocity of photon (v) = \[3\times {{10}^{8}}m{{\sec }^{-1}}\]                    \[\lambda =1.54\times {{10}^{-8}}cm=1.54\times {{10}^{-10}}meter\]                    \[\therefore \]\[m=\frac{6.626\times {{10}^{-34}}Js}{1.54\times {{10}^{-10}}m\times 3\times {{10}^{8}}m\,{{\sec }^{-1}}}\]                                        \[=\,1.4285\times {{10}^{-32}}kg\].  


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