Lighting Iron
A clean iron surface is illuminated by ultraviolet light. No photoelectrons are ejected until the wavelength o?
A clean iron surface is illuminated by ultraviolet light. No photoelectrons are ejected until the wavelength of the incident UV light falls below 282 nm.
(a) What is the work function (in eV) of the metal?
(b) What is the maximum kinetic energy for electrons ejected by incident light of wavelength 130 nm?
Work function of metal W = hc/L,
h=planck’s constant
c=speed of light in vacuum
L=Wavelength
Let L0= threshold wavelength =282nm and L1=130nm
work function
W= hc/(L0xe)
=(6.63×10^-34)x (3 x 10^8)/(282×10^-9 x 1.6×10^-19)
=4.4eV
Maximum kinetic energy of emitted electrons
= Energy incident – work function
= hc/(L1xe) – W
=(6.63×10^-34)x (3 x 10^8)/(130×10^-9 x 1.6×10^-19) – 4.4
=9.56 – 4.4
=5.16eV
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