Practice question
Question
Light of wavelength \( 450 \, \text{nm} \) produces a photocurrent that stops at \( 0.9 \, \text{V} \).
What is the threshold frequency? (Take \( h c = 1240 \, \text{eV nm} \), \( h = 6.63 \times 10^{-34} \,
\text{J s} \))
Explanation
**Photoelectric effect** demonstrates particle nature of light, photon energy E = h f, work function Φ = h f₀ minimum energy to eject electron, threshold frequency f₀ = Φ/h, threshold wavelength λ₀ = hc/Φ, hc=1240 eV·nm, maximum kinetic energy K_max = h f - Φ = e V₀, V₀ stopping potential, photocurrent proportional to intensity (number of photons) when f>f₀, saturation current depends on intensity, frequency determines K_max not current. E = (h c/λ) = (1240/450) ≈ 2.76 eV . Kₘₐₓ = e V₀ = 0.9 eV . Φ₀ = E - Kₘₐₓ = 2.76 - 0.9 = 1.86 eV . v₀ = (Φ₀/h) =
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