What is the maximum wavelength of light that will cause photo electrons to be emitted
from sodium? What will the maximum kinetic energy of the photo electrons be if 200-nm
light falls on a sodium surface?
Gives
λ=200nm\lambda=200nmλ=200nm
λ=hcϕ\lambda=\frac{hc}{\phi}λ=ϕhc
λ=6.625×10−34×3×1082.3×1.6×10−19\lambda=\frac{6.625\times10^{-34}\times3\times10^{8}}{2.3\times1.6\times10^{-19}}λ=2.3×1.6×10−196.625×10−34×3×108
λ=1.9875×10−253.68×10−19=5.40×10−7m\lambda=\frac{1.9875\times10^{-25}}{3.68\times10^{-19}}=5.40\times10^{-7}mλ=3.68×10−191.9875×10−25=5.40×10−7m
λ=540nm\lambda=540nmλ=540nm
Maximum kinetic energy
E=hcλ−ϕE=\frac{hc}{\lambda}-\phiE=λhc−ϕ
E=3.9041eVE=3.9041eVE=3.9041eV
E=3.9eVE=3.9eVE=3.9eV
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