Formula to find maximum kinetic energy?

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SUMMARY

The maximum kinetic energy of a particle can be calculated using the formula KE = hc/λ – Φ, where Φ represents the work function. In this discussion, the work function is given as 3.6 eV and the wavelength of the incident photon is 250 nm. By substituting these values into the equation, one can determine the maximum kinetic energy of the particle. The conservation of energy principle is applied, where the energy of the photon is partially used to overcome the work function, with the remainder contributing to the kinetic energy.

PREREQUISITES
  • Understanding of the photoelectric effect
  • Familiarity with the equation E = hf
  • Knowledge of energy units, specifically electronvolts (eV)
  • Basic grasp of wavelength and frequency relationships
NEXT STEPS
  • Calculate maximum kinetic energy using different wavelengths and work functions
  • Explore the implications of the photoelectric effect in modern physics
  • Study the relationship between photon energy and wavelength in detail
  • Investigate applications of the photoelectric effect in technology, such as solar cells
USEFUL FOR

Students studying physics, particularly those focusing on quantum mechanics and the photoelectric effect, as well as educators looking for clear explanations of energy conservation in photon interactions.

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Homework Statement



Work Function=3.6 EV
Wavelength=250nm, UV
Maximum kinetic energy=?


Homework Equations



E=hf

Formulas from mark scheme:
E = hc/λ
hc/λ – Φ

The Attempt at a Solution



I had a vague idea of what to do, I just didn't understand why in the second formula from the mark scheme the work function is taken away from E
 
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I haven't worked with this for a while, but isn't it just the conservation of energy? You are using the energy of the incident 250 nm photon to pull the particle from the surface (the work function) and the rest of the photon's energy goes into kinetic energy:
KE=hc/λ – Φ.
 
It's so much simpler now that you've put it that way. Thank you so much! :'D
 

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