Photoelectric effect and continuous energy function

[kidsasd987]

TL;DR

E=hf-W where W is a work function.

However we know that electrons in an atom will be excited only when radiated with photons of n*f0 discrete number of frequencies.

where E=hf-W is a continuous function. hows is that possible?

E=hf-W where W is a work function.

However we know that electrons in an atom will be excited only when radiated with photons of n*f0 discrete number of frequencies.
where E=hf-W is a continuous function.

Is this because energy level is continuous within a conductor?
If we think of only one metal atom in free space, then it will only take n*f0 discrete number of frequencies, right?

 

[anorlunda]

Try this explanation first, then come back if you still have questions.

https://en.wikipedia.org/wiki/Photoelectric_effect#Theoretical_explanation