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Question
The maximum wavelength of radiation that can produce photoelectric effect in a certain metal is 200 nm. The maximum kinetic energy acquired by electron due to radiation of 100 nm wavelength will be
The maximum wavelength of radiation that can produce photoelectric effect in a certain metal is 200 nm. The maximum kinetic energy acquired by electron due to radiation of 100 nm wavelength will be
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Solution
The correct option is B 6.2 eV
Incident energy (E)=hcλ, where λ=100 nm
Work function (ϕ)=hcλ0, where λ0=200 nm
Now,
K.Emax=E−ϕ
⇒K.Emax(in eV)=hce(1λ−1λ0)
=6.626×10−34×3×1081.6×10−19(1100 nm−1200 nm)K.Emax(in eV)=6.2
Incident energy (E)=hcλ, where λ=100 nm
Work function (ϕ)=hcλ0, where λ0=200 nm
Now,
K.Emax=E−ϕ
⇒K.Emax(in eV)=hce(1λ−1λ0)
=6.626×10−34×3×1081.6×10−19(1100 nm−1200 nm)K.Emax(in eV)=6.2
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