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Question

When electromagnetic radiation of wavelength 500 A is incident on a metal sheet that has a work function of 15.6 eV, find the maximum kinetic energy of the photoelectrons emitted.
Take h=6.6×1034 Js

A
7.18 eV
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B
11.1 eV
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C
9.15 eV
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D
5.5 eV
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Solution

The correct option is C 9.15 eV
Given λ = 500 A=500×1010 m
From photo-electric effect,
hν=W+(KE)max
hcλ=W+(K.E)max
where λ = wavelength of incident radiation
W = work function of the metal sheet
(KE)max = Kinetic energy of the emitted photoelectron.
So,
6.6×1034×3×108500×1010×1.6×1019 = 15.6+(KE)max
On solving, (KE)max = 9.15 eV

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