How can the value of the constant, 1240, in the Duane-Hunt relation be verified?

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In summary, the conversation revolved around verifying the value of the constant 1240 in the Duane-Hunt relation, which is used to quickly calculate the energy involved when a molecule absorbs a photon of light. The suggestion was to look up the definition of Planck's constant and its relation to the energy of a photon. Additional information was provided about the speed of light in a vacuum, Planck's constant, the conversion between frequency and wavelength, and the relationships between Joules, electron-volts, and nanometers.
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Homework Statement


Just going over some practice questions, and one of them is:

1. Verify the value of the constant, 1240, in the Duane-Hunt relation.


Homework Equations


E(eV) = 1240/lambda(nm)


The Attempt at a Solution


I know it is used as a quick method in finding how much energy is involved when a molecule absorbs a photon of light. I therefore know how to use it in a question. However, I'm stumped as to verifying the actual value of the constant. Any insight is appreciated!
 
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Look up the definition of Planck's constant, or more specifically what is called the "Planck relation" or the "Planck–Einstein equation". It relates the energy of a photon to the photon's frequency (or wavelength).

A few other things you may need to know.

  • What is the speed of light in a vacuum (in [m/sec])?
  • What is Planck's constant (in [J sec])?
  • If you know the frequency of a photon, what is the photon's wavelength?
  • How many Joules are there in one electron-volt?
  • how many nanometers are there in a meter?
 

FAQ: How can the value of the constant, 1240, in the Duane-Hunt relation be verified?

What is the Duane-Hunt relation?

The Duane-Hunt relation is an empirical relationship between the wavelength of an X-ray photon and the accelerating voltage of an X-ray tube. It states that the wavelength of an X-ray photon is inversely proportional to the square root of the accelerating voltage.

Who discovered the Duane-Hunt relation?

The Duane-Hunt relation was discovered by German physicist Friedrich Duane and American physicist William Hunt in 1915.

How is the Duane-Hunt relation used in X-ray technology?

The Duane-Hunt relation is used to determine the wavelength of X-ray photons produced by an X-ray tube, which is important in various applications such as medical imaging, material analysis, and industrial testing.

Is the Duane-Hunt relation still valid today?

Yes, the Duane-Hunt relation is still valid today and is used in modern X-ray technology. However, it is important to note that it is an empirical relationship and may not hold true in all situations.

How can the Duane-Hunt relation be verified?

The Duane-Hunt relation can be verified experimentally by measuring the wavelength of X-ray photons produced by an X-ray tube at different accelerating voltages and plotting them on a graph. If the relationship is valid, the data points should fall on a straight line with a slope of 1/√V, where V is the accelerating voltage.

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