11.18 Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).

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    Answered by

    Payal Gupta | Contributor-Level 10

    4 months ago

    11.18 The momentum of a photon having energy ( hν) is given as p = hνc = hλ

    So, λ=hp …………….(1)

    Where, λ= Wavelength of the electromagnetic radiation

    h = Planck’s constant

    c = speed of light

    De Broglie wavelength of the photon is given as λ=hmv

    But momentum, =mv , where m = mass of the photon, v = velocity of the photon

    Hence λ=hp ……….(2)

    Hence, it can be inferred from equation (1) and (2) that wavelength of the electromagnetic radiation is equal to the De Broglie wavelength of the photon.

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