Quick question on calculating wavelength.

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Homework Statement



Light strikes a sodium surface, causing photoelectric emission. The stopping potential for the ejected electrons is 4.6 V, and the work function of sodium is 2.2 eV. What is the wavelength of the incident light?

Homework Equations


The Attempt at a Solution



Problem solved, thanks. :)
 
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The equation E=hf for the energy of a photon of frequency f, will give energy in joules. (if h is in SI units)
So the work function and maximum ke of electrons (given by the stopping potential) also need to be in joules.
 
Stonebridge said:
The equation E=hf for the energy of a photon of frequency f, will give energy in joules. (if h is in SI units)
So the work function and maximum ke of electrons (given by the stopping potential) also need to be in joules.

To calculate the maximum kinetic energy, I would just multiply the charge on an electron by the stopping potential 4.6V, wouldn't I?
 
lyrebird said:
To calculate the maximum kinetic energy, I would just multiply the charge on an electron by the stopping potential 4.6V, wouldn't I?

Yes. That's correct. It's the same idea as calculating the k.e. an electron gains when accelerating through a potential V. The only difference here is that the electric field acts to decelerate the electron rather than accelerate it.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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