A semiconductor of energy band gap of 3eV is exposed to light. Calculate the wavelength of light emitted by it
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To raise an electron from valence to conduction band , the energy required is
equal to the band gap in eV which has a value 1.5 eV as given
If a photon of energy E is absorbed by an electron then for the transfer
E = 1.5 eV = hv where h is plank's constant and
ν is the frequency.
as frequency ν=c, therefore
λ
h. c = 1.5 eV or
λ
λ=h. c
1.5eV
substituting the values of h and c and eV in Joules we get
λ =(6.62.10-³⁴) J - s. (3.10⁸m/s)
(1.5).1.60.10‐¹⁹J
λ=827.5nm
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