Practice question
Question
The stopping potential for photoelectrons emitted from a metal surface is \( 1.2 \, \text{V} \). What
is the maximum kinetic energy of the photoelectrons in joules? (Take \( e = 1.6 \times 10^{-19} \,
\text{C} \))
Explanation
**Work function** Φ minimum energy to escape, for Φ=2.2 eV λ₀=1240/2.2=563.6 nm, Φ=3.0 eV threshold frequency f₀=Φ/h=3×1.6×10⁻¹⁹/6.63×10⁻³⁴=7.24×10¹⁴ Hz, stopping potential V₀ = (h f - Φ)/e, for 0.7 V K_max=0.7 eV, for 1.5 V K_max=1.5 eV, intensity increase increases photocurrent not K_max, frequency below threshold no emission regardless of intensity. Maximum kinetic energy Kₘₐₓ = e V₀ . Kₘₐₓ = 1.6 × 10⁻¹⁹ × 1.2 = 1.92 × 10⁻¹⁹ J . Applying E = h f = h c/λ, p = h/λ, K_max = h f - Φ, Φ = h f₀ = h c/λ₀, λ = h/√(2 m e V) and f_max = e
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