What is the maximum wavelength of incident light that can produce photoelectrons from silver? The work function for silver is Φ=2.93 eV.

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What is the maximum wavelength of incident light that can produce photoelectrons from silver? The work function for silver is Φ=2.93 eV.

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Thu Cúc 1 month 2021-08-07T20:31:09+00:00 1 Answers 6 views 0

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    2021-08-07T20:32:32+00:00

    Answer:

    The maximum wavelength of incident light that can produce photoelectrons from silver is 423.5 nm.

    Explanation:

    Given;

    work function of silver, Φ = 2.93 eV = 2.93 x 1.602 x 10⁻¹⁹ J = 4.6939 x 10⁻¹⁹ J

    Apply Einstein Photo electric effect;

    E = K.E + Ф

    Where;

    E is the energy of the incident light

    K.E is the kinetic of electron

    Ф is the work function of silver surface

    For the incident light to have maximum wavelength, the kinetic energy of the electron will be zero.

    E = Ф

    hf = Ф

    h\frac{c}{\lambda} = \phi

    where;

    c is speed of light = 3 x 10⁸ m/s

    h is Planck’s constant, = 6.626 x 10⁻³⁴ J/s

    λ is the wavelength of the incident light

    \lambda = \frac{hc}{\phi}\\\\\lambda =\frac{6.626*10^{-34} *3*10^8}{4.6939*10^{-19}} \\\\\lambda = 4.235 *10^{-7} \ m\\\\\lambda = 423.5 *10^{-9} \ m\\\\\lambda = 423.5 \ nm

    Therefore, the maximum wavelength of incident light that can produce photoelectrons from silver is 423.5 nm.

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