Hey!
Can I get some help with the following:
A light beam has 270 photons passing a given point in one second. If this beam of light is rated as 2.23 x 10-16W, calculate the frequency of this light beam.
Wouldn't it just be 270Hz? I don't understand what the light rating means and if there's a formula we can use considering no wavelength was given ...
Could someone please explain the connection between photons and energy. I also don't see how the number of photons can be relevant (as it has come in previous questions). Like this has been really poorly explained and i'm really confused - like I don't even know how to ask my question. Hopefully someone can help
Thank you!!
Hey! Don't worry, this trips a lot of people.
When considering EM waves in terms of photons, you can't think of frequency in the usual "the number of waves passing by per second" sense, because it gets confusing. Instead, think of it more abstractly as purely a property of the photons.
Photons are 'packets' of electromagnetic waves, each containing a set amount of energy. That energy is equal to \(E=hf\) - Each photon has an energy
proportional to the frequency! The frequency affects energy
per photon.
Analysing your question should help clear up the confusion. We have 270 photons passing per second, and the laser is rated for \(2.23\times10^{-16}W\). Now remember, 1 Watt is equivalent to 1 Joule per second. This means that those 270 photons coming past per second, must be delivering a total of \(2.23\times10^{-16}\) joules of energy. To get the energy
per photon, divide by 270:

Then, to find the frequency, we use the energy formula for a photon, since we know that each photon must have an energy equal to that we found just then:

So the frequency has nothing to do with photons passing per second - It is instead determined based on the energy per photon required to deliver the specified amount of energy per second (and thus power)

does this make sense?
I wrote this brief guide on all this Quantum Physics stuff you do for the HSC!