Measure Planck's constant without universal constants

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SUMMARY

The discussion centers on measuring Planck's constant without relying on universal constants, specifically the speed of light. The experiment involved using LEDs of various colors to determine barrier potentials, leading to the calculation of Planck's constant using the formula h = eVλ/c. The conversation highlights the interconnectedness of units in the SI system, particularly how the definition of the second and the meter relies on constants like the speed of light and the frequency of cesium. The inquiry also references a Physics Today article regarding the new SI system.

PREREQUISITES
  • Understanding of Planck's constant and its significance in quantum mechanics.
  • Familiarity with the photoelectric effect and barrier potential measurements.
  • Knowledge of the SI unit system and its redefinitions involving natural constants.
  • Basic principles of LED operation and their application in experiments.
NEXT STEPS
  • Research the photoelectric effect and its implications for measuring Planck's constant.
  • Explore the redefinition of the SI units and the role of universal constants in this context.
  • Investigate alternative methods for measuring Planck's constant without universal constants.
  • Study the relationship between energy, frequency, and wavelength in quantum mechanics.
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Physicists, educators, and students interested in quantum mechanics, experimental physics, and the implications of the new SI unit definitions.

Heisenberg_white
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Homework Statement
Suggest a method to measure h (Planck's constant) without using the value of any other universal constant.
Relevant Equations
h = 6.626e-34
I am not getting any ideas to solve this without the universal constants. The method that I want to use invloves the speed of light, which is a universal constant.
 
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Thanks a lot for replying!
In the experiment, we used LEDs emitting different colors & found out their barrier potentials, from which we calculated the Planck's constant. Energy, E = eV = hν ( where, e - energy of an electron; V - barrier potential). from this we get V = hc/eλ. and in turn, h = eVλ/c.
But anyway, none of this is related to the question that I have asked. My question was asked as a supplementary question by my professor. This is just to tell you how the experiment was conducted.

Thank you again! :)
 
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Is this question asked in the context of the "new SI", i.e., the redefinition of the international system of units through natural constants. Then the answer is in the following Physics Today article:

https://physicstoday.scitation.org/doi/10.1063/PT.3.4472

Of course you cannot measure ##h## in the described (gedanken) experiment without referring to ##\nu_{\text{Cs}}## (defining the second) and ##c## (defining, together with the second, the metre). All units are interconnected, starting with ##\nu_{\text{Cs}}## to define the second.
 
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