How to find planks constant from a given graph?

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To calculate Planck's constant (h) from a graph, it's essential to understand the relationship between stopping potential and photon frequency in a photoelectric effect experiment. The stopping potential represents the maximum kinetic energy of electrons, which is influenced by the energy of the incoming photons. The formula h = e * U_a / f can be used, where U_a is the stopping potential and e is the electron charge. The discrepancy in the calculated value of h may stem from not accounting for the electron charge factor. By deriving the correct relationship from the graph, the accurate value of Planck's constant can be determined.
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Hi everyone, I can't seem to calculate Planks constant (h) from this graph. I thought it should simply be the gradient? So I used h= (f1-f2)/(Ua-Ua2) but found it to be nothing near the actual constant of 6.63*10^34!
Any help would be greatly appreciated!
 

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It depends on what the graph is showing.
When U is in volts, you can't use U = h*f, since U isn't the energy.
 
I'm assuming U_a is the stopping potential.

Derive the relationship between the stopping potential and the frequency of the photons in a photoelectric effect experiment.

I'll help you get started, the stopping potential is that potential at which an electron with maximal kinetic energy cannot reach the other electrode. It doesn't have enough energy. Contemplate what energy it leaves the metal with, and how much energy it has left as it approaches the second electrode, and where that energy goes, and you should have your answer.

From there, the relationship between the stopping potential and frequency shown in the graph should be straight-forward to deduce. You're only off by a factor of the electron charge (e=1.602 * 10^-19 C)
 

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