All electrons ejected from a surface by incident light of wavelength 200 nm can be stopped before traveling 1 m in a uniform electric field of 4 N/C. The work function of the surface is:
Correct answer: D. 2.2 eV
- A. 4 eV
- B. 6.2 eV
- C. 2 eV
- D. 2.2 eV
Explanation
Stopping potential energy = qEd = 1.6 × 10⁻¹⁹ × 4 × 1 ≈ 4 eV. Photon energy E = hc/λ = 1240/200 = 6.2 eV. Work function Φ = E - KE = 6.2 - 4 ≈ 2.2 eV.
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Classical physics cannot explain blackbody radiation and related observations, leading to Planck’s quantum theory, in which energy is emitted or absorbed in discrete packets. Photons provide the particle model of light, with energy and momentum linked to frequency and wavelength, including the photoelectric effect and its threshold frequency.
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