Visible light of wavelength 500 nm (yellow-green) is being used to incident on a

Question

Visible light of wavelength 500 nm (yellow-green) is being used to incident on a metal plate. (a) Draw the diagram and determine the incident photon energy, in eV [1eV = 1.602 × 1019 J]? (b) If this light is incident on a metal with a work-function of 3.20 eV , will there be a current? (c) If a metal has a work-function of 1.25 eV , will there be a current? (d) If there is a current what is the maximum kinetic energy of the ejected electrons? (e) What is the stopping voltage to stop the current? (f) What is the maximum speed of the ejected electron (me = 9.11 × 1031 kg) (g) What is the % of the ejected electron speed compared to the light speed?

Explanation / Answer

a. hc/lambda = KE + work function

6.634*10^-34*3*10^8/500*10^-9 = KE + 3.20*1.602*10^-19

KE = 392.88eV = qV

V = 392.88volt

KE = VI

392.88e = 392.88*I

I = 1.602*10^-19amp

KE(max) = eV(stopping potential)

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