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JEE Main & Advanced Chemistry Structure of Atom / परमाणु संरचना Question Bank Self Evaluation Test - Structure of Atom

  • question_answer
    If a proton and \[\alpha \]-particle are accelerated through the same potential difference, the ratio of de-Broglie wavelengths \[{{\lambda }_{p}}\] and \[{{\lambda }_{\alpha }}\] is

    A) 3                     

    B) \[2\sqrt{2}\]

    C) 1         

    D) 2

    Correct Answer: B

    Solution :

    [b] \[{{\lambda }_{p}}=\frac{h}{\sqrt{2eV{{m}_{p}}}};\] \[{{\lambda }_{H{{e}^{2+}}}}=\frac{h}{\sqrt{2\times 2eV{{m}_{H{{e}^{2+}}}}}}=\frac{h}{\sqrt{2\times 2eV\times 4{{m}_{p}}}}\] \[\therefore \frac{{{\lambda }_{p}}}{{{\lambda }_{H{{e}^{2+}}}}}=2\sqrt{2}\]


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