Solve Photoelectric Effect: Find Work Function & Planck's Constant

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SUMMARY

The discussion focuses on solving the photoelectric effect for potassium using the stopping potentials of emitted photoelectrons at two different wavelengths (450 nm and 300 nm). The key equations utilized are eV₀ = hf - φ, where φ represents the work function and h is Planck's constant. Participants concluded that by setting the equations for both wavelengths equal, one can solve for Planck's constant first and subsequently determine the work function of potassium.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Familiarity with the equation eV₀ = hf - φ
  • Knowledge of the speed of light and electron charge
  • Basic algebra for solving equations
NEXT STEPS
  • Calculate the work function of potassium using the derived value of Planck's constant
  • Explore the implications of the photoelectric effect in modern physics
  • Study the relationship between wavelength and energy in quantum mechanics
  • Learn about experimental setups for measuring stopping potentials in photoelectric experiments
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Students in physics, educators teaching quantum mechanics, and researchers interested in the photoelectric effect and its applications in modern technology.

patapat
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Homework Statement


When light of wavelength 450 nm is shone on potassium, photoelectrons with stopping potential of 0.52 V are emitted. If the wavelength of the incident light is changed to 300 nm, the stopping potential is 1.90 V. Using only these numbers together with the values of the speed of light and the electron charge, do the following.
(a) Find the work function of potassium
(b) Compute a value for Planck's constant.

Homework Equations


eV_{0}=hf-\phi


The Attempt at a Solution


I'm not sure how to do this problem. Since they ask us to compute a value for Planck's constant I am not sure that we actually use the equation stated above. I assume that the work function is the same for both cases of wavelength and stopping potential, but I'm not sure what the relationship is.
Thanks in advance for the help.

-pat
 
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it should be V_0 not V^0, thanks.
 
You can start with (b) and then do (a). Have two equations of (phi) = hf - eV_o, and set them equal to each other since they each the same phi value. You should then be able to solve for h. Then plug h into one of the equations to find phi
 

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