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Grade upto college level Modern Physics

The work function of a photoelectric material is 4.0 eV. (a) What is the threshold wavelength? (b) Find the wavelength of light for which the stopping potential is 2.5 V.

Profile image of Shane Macguire
12 Years agoGrade upto college level
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1 Answer

Profile image of Jitender Pal
12 Years ago
Sol. ∅ = 4 eV = 4 * 1.6 *10^-19 J a) Threshold wavelength = λ ∅ = hcλ ⇒ λ = hC/∅ = 6.63 * 10^-34 *3 * 10^8/4 * 1.6 *10^-19 = 6.63 * 3/6.4 * 10^-27/10^-9 = 3.1 * 10^7 m = 310 nm. b) Stopping potential is 2.5 V E = ∅ + eV ⇒ hcλ = 4 * 1.6 * 10^-19 + 1.6 * 10^-19 * 2.5 ⇒ λ = 6.63 *10^-34 *3 * 10^8/λ * 1.6 * 10^-19 = 4 + 2.5 ⇒ 6.63 * 3 * 10^-26/1.6 * 10^-19 * 2.5 = 1.9125 * 10^-7 = 190 nm.