A clean zinc plate has work function eV

PHYSICS · Multi-part · Fermi University Physics · Optics & Photonics · Photodetection, photonic sources and quantum optics · Photodetection, photonic sources and quantum optics

Optics and Photonics, Ch The photon

Problem

A clean zinc plate has work function W=4.3W = 4.3 eV. It is illuminated by an intense red laser of wavelength 633633 nm delivering a power of 1010 W focused onto a spot of area 1.01.0 mm2^2 (irradiance about 10710^7 W m−2^{-2}, far brighter than the faint lamp of the accumulation-time estimate in the text). A student argues: "the classical accumulation-time estimate in this chapter showed that a weak lamp needs about two hours to deliver 4.34.3 eV to one atom. This laser is enormously more intense, so it must deliver enough energy per electron in well under a second, and photoelectrons should appear." ((a)) Compute the photon energy of the 633633 nm light in eV. ((b)) Compare it with WW and state whether photoelectrons are emitted, however intense the beam. ((c)) Explain in one or two sentences why the accumulation-time argument does not apply here, even though the beam is intense.

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