Why does the photoelectric effect only occur above a certain frequency of light?

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SUMMARY

The photoelectric effect occurs only when the frequency of incident light exceeds a specific threshold frequency, which is directly related to the energy of photons. The equation E=hf, where E is energy, h is Planck's constant, and f is frequency, illustrates that if the photon energy (hf) is less than the work function of the metal, no electrons are emitted. This phenomenon supports the photon theory of light over wave theory, as wave theory fails to account for the necessity of a minimum frequency for electron emission, regardless of light intensity.

PREREQUISITES
  • Understanding of photon energy and the equation E=hf
  • Familiarity with the concept of work function in photoelectric effect
  • Basic knowledge of wave theory versus particle theory of light
  • Concept of kinetic energy in relation to emitted electrons
NEXT STEPS
  • Research the implications of the work function in different metals
  • Study the derivation and applications of the photoelectric equation Ek(max) = hf - work function
  • Explore the experimental evidence supporting the photon theory of light
  • Investigate the limitations of classical wave theory in explaining quantum phenomena
USEFUL FOR

Students studying physics, particularly those focusing on quantum mechanics and the photoelectric effect, as well as educators seeking to explain the differences between wave and particle theories of light.

ffrog
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Homework Statement


When monochromatic light is incident on a metla plate,electrons are emmited only when the frequency of light exceeds a certain frequency.
Explain in terms of energy, why this threshold frequency exist and why photon theory of light provides a better explnation of the photorlrctric effect than a wave theory of light.


Homework Equations


none that i know of


The Attempt at a Solution


Its not really a solution but i have talked about energy levels and in atoms and things like that.
 
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ffrog said:

Homework Equations


none that i know of

The equation for the energy of a photon would definitely be relevant.
 
what E=hf or do you want the photoelectric equartion and how do either of them prove it
fh=workfunction+Ek(max)
 
Yes, those equations.

What can you say about Ek if hf is less than the work function?
 
so what you are suggesting is me saying look at the formula it gives you proof?
sorry but i am not sure that will fly
 
No, I'm not suggesting you say "look at the formula" as your answer. I'm suggesting that you should look at the formula and think about it before coming up with your answer. :smile:

Ek(max) = hf - workfunction​

What would hf < workfunction imply about Ek?
 
I get that it says a minimum frequency is required and there is a maximum energy required but you have failed to prove this bit which is my hardest

why this threshold frequency exist and why photon theory of light provides a better explnation of the photorlrctric effect than a wave theory of light.
 
Well if we use wave theory, then no matter the frequency, as long as the light supplies energy eventually, the electrons should gain enough energy to be emitted. But this doesn't occur in practice.
 
rock.freak667 said:
Well if we use wave theory, then no matter the frequency, as long as the light supplies energy eventually, the electrons should gain enough energy to be emitted. But this doesn't occur in practice.

oh my god thankyou i didnt know that and that's all i wanted to here that solves my whole problem.
 

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