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A metal has a threshold wavelength of 500 nm. a. What is the binding energy of the outer electron in this metal? b. What happens if you hit the metal with electromagnetic radiation with a wavelength of 300 nm? 5.1E14Hz? c. What would happen if you increased the intensity of light in each of these experiments?

A metal has a threshold wavelength of 500 nm. a. What is the binding energy of the outer electron in this metal? b. What happens if you hit the metal with electromagnetic radiation with a wavelength of 300 nm? 5.1E14Hz? c. What would happen if you increased the intensity of light in each of these experiments?

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A metal has a threshold wavelength of 500 nm.
a. What is the binding energy of the outer electron in this metal?
b. What happens if you hit the metal with electromagnetic radiation with a wavelength of
300 nm? 5.1E14Hz?
c. What would happen if you increased the intensity of light in each of these experiments?

Expert Solution
Step 1

a.)Threshold wavelength= 500nm = 500 × 10-9 m

threshold frequency = c/λ = 3×108ms-1/500×10-9m         =0.6×1015

∅=h×ν(threshold)    =6.626×10-34Js×0.6×1015    =3.975×10-19

∅ is the binding energy 

 b.) E(photon)=hc/λ=(6.626×10-34×3×108)÷300×10-9=6.6×10-19

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