Violet light of wavelength 400 nm ejects electrons with a maximum kinetic energy of 0.860 eV from sodium metal. What is the binding energy o

Question

Violet light of wavelength 400 nm ejects electrons with a maximum kinetic energy of 0.860 eV from sodium metal. What is the binding energy of electrons to sodium metal?

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Thanh Hà 5 years 2021-08-09T21:42:15+00:00 1 Answers 209 views 0

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  1. thuhuong
    0
    2021-08-09T21:43:27+00:00
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    Answer:

    Binding Energy = 2.24 eV

    Explanation:

    First, we need to find the energy of the photon of light:

    E = hc/λ

    where,

    E = Energy of Photon = ?

    h = Plank’s Constant = 6.626 x 10⁻³⁴ J.s

    c = speed of light = 3 x 10⁸ m/s

    λ = wavelength of light = 400 nm = 4 x 10⁻⁷ m

    Therefore,

    E = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(4 x 10⁻⁷ m)

    E = (4.97 x 10⁻¹⁹ J)(1 eV/1.6 x 10⁻¹⁹ J)

    E = 3.1 eV

    Now, from Einstein’s Photoelectric Equation:

    E = Binding Energy + Kinetic Energy

    Binding Energy = E – Kinetic Energy

    Binding Energy = 3.1 eV – 0.86 eV

    Binding Energy = 2.24 eV

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