JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Topic Test - Structure of Atom (4-5-21)

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

    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 :

    [c] 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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