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

  • question_answer
    If change in energy \[(\Delta E)=3\times {{10}^{-8}}J,\,\,h=6.64\times {{10}^{-34}}J\text{-}s\] and \[c=3\times {{10}^{8}}\,m/s,\] then wavelength of the light is [CBSE PMT 2000]

    A)                 \[6.36\times {{10}^{3}}\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]

    B)                 \[6.36\times {{10}^{5}}\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]

    C)                 \[6.64\times {{10}^{-8}}\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]               

    D)                 \[6.36\times {{10}^{18}}\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]

    Correct Answer: C

    Solution :

               \[\Delta E=\frac{hc}{\lambda }\] or \[\lambda =\frac{hc}{\Delta E}\]                     \[=\frac{6.64\times {{10}^{-34}}\times 3\times {{10}^{8}}}{3\times {{10}^{-8}}}=6.64\times {{10}^{-8}}{\AA}\]


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