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The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?

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The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?

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X = 330 nm = 330 x 10-9m
∴ Energy of a photon of incident light,

Since the energy of the photon of incident light is less than the work function for the metal, photoelectric emission will not take place.

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