A certain metallic surface is illuminated by monochromatic radiation of wavelength $\lambda$. The stopping…

A certain metallic surface is illuminated by monochromatic radiation of wavelength $\lambda$. The stopping potential for photoelectric current for this radiation is 3 V0. If the same surface is illuminated with a radiation of wavelength 2λ, the stopping potential is V0. The threshold wavelength of this surface for photoelectric effect is___________λ.

Solution

KE=hcλ-ϕhc

e3V0=hcλ0-ϕ  i

eV0=hc2λ0-ϕ  ii

Using i and ii,

ϕ=hc4λ0=hcλt

λt=4λ0

Asked in: JEE Main 2021 (20 Jul Shift 2)

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