JEE Main & Advanced Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Matter Waves

  • question_answer
    The kinetic energy of an electron is 5 eV. Calculate the de-Broglie wavelength associated with it (h = 6.6 ´ 10?34 Js, me = 9.1 ´ 10?31 kg)                                                          [Pb. PMT 2004]

    A)            5.47 Å                                      

    B)            10.9 Å

    C)            2.7 Å                                        

    D)            None of these

    Correct Answer: A

    Solution :

               \[\lambda =\frac{h}{\sqrt{2mE}}=\frac{6.6\times {{10}^{-34}}}{\sqrt{2\times 9.1\times {{10}^{-31}}\times 5\times 1.6\times {{10}^{-19}}}}\] \[=5.469\times {{10}^{-10}}m=5.47{\AA}\]


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