Finding the work function of a material

AI Thread Summary
In the lab, the stopping voltage of lights with different wavelengths was measured to calculate the work function and Planck's constant. The work function should remain constant for a material, but varying results were obtained, suggesting the need to account for uncertainties in measurements. Introducing uncertainties allows for a range of values, which can help determine if the calculated work functions overlap. Planck's constant can be derived from the slope of a graph plotting kinetic energy versus frequency. Accurate calculations of both the work function and Planck's constant are essential for validating experimental results.
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Homework Statement


So today in class we did a lab where we calculated the stopping voltage of lights of different wavelengths. We did this experimentally. I have the wavelength, frequency, and stopping voltage of four different lights. I need to calculate the work function of the material, and Planck's constant. 1) Every time I calculate the work function, it comes out different for each wavelength. Am I supposed to be getting the same work function for each light? 2) How could I calculate Planck's constant, isn't it a constant? Please help! Thank you.

Homework Equations



Work Function: hc/lambda minus the stopping voltage of the electron
Planck's constant: 4.1 x 10^-15
c=3.0 x 10^8

The Attempt at a Solution



Various work functions I've gotten have included 1.46 eV, 1.53 eV, and 1.76 eV.
 
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The work function is the same for a material, regardless of the type of light used. You might want to introduce uncertainties into your readings and see if the work functions you obtains overlap for different wavelengths. The point of calculating Planck's constant would be to assess the accuracy of your experiment. You can tell from the equation of the photoelectric effect that Planck's constant should be the slope of the kinetic energy (eV) versus frequency (f) graph.

Also the value of the constant is 6.63 x 10^-34 Js
 
Pi-Bond said:
The work function is the same for a material, regardless of the type of light used. You might want to introduce uncertainties into your readings and see if the work functions you obtains overlap for different wavelengths. The point of calculating Planck's constant would be to assess the accuracy of your experiment. You can tell from the equation of the photoelectric effect that Planck's constant should be the slope of the kinetic energy (eV) versus frequency (f) graph.

Also the value of the constant is 6.63 x 10^-34 Js

Thank you for your help! I'm not quite sure what you mean by introducing uncertainties. Also, the value I gave was in eV, but that's totally right for J/s!
 
Oh ok. By uncertainties I mean that you can't establish an exact value of your readings - you have to give a range. For example if you got a stopping voltage of 1.5 V, you can't just record that without introducing an uncertainty; like 1.5 ± 0.1 V. It's up to you to decide how uncertain your experiment was.
 
Oh I get it! Thank you so much, I think I'll get the right answer now.
 
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