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Question

The work function (ϕ) of some metals is listed below. The number of metals which will show photoelectric effect when light of 300 nm wavelength falls on the metal is:___
Metal Li Na K Mg Cu Ag Fe Pt W
ϕ (eV) 2.4 2.3 2.2 3.7 4.8 4.3 4.7 6.3 4.75

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Solution

Since the value of hc = 1240 eV nm
Energy corresponding to λ = 300 nm is 1240 eV nm300 nm=4.134 eV
Elements having ϕ < 4.134 eV will show photoelectric effect, are Li, Na, K, and Mg 4
So, number of metals showing photo-electric will be four i.e., Li, Na, K, and Mg.

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