JEE Main & Advanced Chemistry Structure of Atom Question Bank Dual nature of electron

  • question_answer If the velocity of hydrogen molecule is \[5\times {{10}^{4}}cm\,se{{c}^{-1}}\], then its de-Broglie wavelength is                 [MP PMT 2003]

    A) \[2\text{ }{AA}\]

    B) \[4{AA}\]

    C) \[8{AA}~\]

    D) \[100\text{ }{AA}\]

    Correct Answer: B

    Solution :

    According to de?Broglie            \[\lambda =\frac{h}{mv}=\frac{6.62\times {{10}^{-20}}erg.\,\sec }{\frac{2}{6.023\times {{10}^{23}}}\times 5\times {{10}^{4}}cm/\sec }\]                               \[=\frac{6.62\times {{10}^{-27}}\times 6.023\,\,\times {{10}^{23}}}{2\,\,\times 5\,\,\times {{10}^{4}}}cm\]\[=4\,\,\times {{10}^{-8}}cm=4\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\].

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