What Is the Maximum Kinetic Energy of a Photoelectron with a 400 nm Wavelength?

AI Thread Summary
The maximum kinetic energy of a photoelectron emitted from a surface with a work function of 5 eV, when illuminated by 400 nm wavelength photons, is calculated using the equation KE max = hc/(lambda) - work function. The calculated value of -1.89 eV indicates an error, as kinetic energy cannot be negative. The discussion concludes that since the wavelength exceeds the threshold wavelength (lambda0), the photoelectric effect cannot occur, resulting in a maximum kinetic energy of 0 eV. Therefore, the correct answer is that no photoelectron is emitted under these conditions. The physical significance of the calculations emphasizes the importance of the work function in determining electron emission.
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Homework Statement


What is the maximum kinetic energy (in eV) of a photoelectron emitted when a surface, whose work function is 5eV, is illuminated by photons whose wavelength is 400 nm
1. -1.89
2. 1.89
3. 0
4. 3.1

Homework Equations


hc/(lambda)=work function + KE max


The Attempt at a Solution


After plugging numbers in the formula above, I get KE max=-1.89 eV, but I guess I must have done something wrong, since energy cannot be negative.
 
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looks like your calculation is correct. Think about the physical significance.
 
thank you, I've figured it out :)
since lambda > lambda0, the photoelectric effect cannot occur, then KEmax = 0
 
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