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Compute the typical de Broglie wavelength of an electron in a metal at 27° C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10-10 m.

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Compute the typical de Broglie wavelength of an electron in a metal at 27° C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10-10 m.

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  1. Solution:
    Considering free electrons as gas. Kinetic energy at temperature T

    Given that mean separation between two electrons is about 2 × 10-10 m.

    So, de-Broglie wavelength is much greater than the electron separation.

    Check the complete chapter with solutions.
    NCERT Solutions for 12th Class Physics: Chapter 11-Dual Nature of Radiation and Matter