Question #109083
A photon and an electron each have an energy of (6.0 X 10^3 eV). What are their
wavelengths? Which of these would you use to probe atomic structures?
1
Expert's answer
2020-04-13T10:05:08-0400

Energy = 6000 eV


for photon

λ=hcE\lambda=\frac{hc}{E} =1240Enm=12406000nm=0.2067nm=\frac{1240}{E}nm=\frac{1240}{6000}nm=0.2067nm


for electron

λ=h2mE=6.63×10342×9.1×1031×6000×1.6×1019=6.63×103441.8×1024=1.59×109m=1.59nm\lambda=\frac{h}{\sqrt{2mE}}=\frac{6.63\times10^{-34}}{\sqrt{2\times9.1\times10^{-31}\times6000\times1.6\times10^{-19}}}=\frac{6.63\times10^{-34}}{41.8\times10^{-24}}=1.59\times10^{-9}m=1.59nm


I would use electron to probe atomic structure


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