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

  • Thread starter Thread starter saiyaex
  • Start date Start date
  • Tags Tags
    Relation
Click For Summary
SUMMARY

The value of the constant, 1240, in the Duane-Hunt relation is verified through the equation E(eV) = 1240/lambda(nm), which relates the energy of a photon to its wavelength. To confirm this constant, one must utilize Planck's constant and the speed of light in a vacuum. The verification process involves understanding the conversion between energy in electron-volts and Joules, as well as the relationship between wavelength and frequency. Key constants such as Planck's constant and the speed of light are essential for this calculation.

PREREQUISITES
  • Understanding of the Duane-Hunt relation and its application.
  • Knowledge of Planck's constant (6.626 x 10^-34 J·s).
  • Familiarity with the speed of light in a vacuum (approximately 3.00 x 10^8 m/s).
  • Basic conversion between Joules and electron-volts (1 eV = 1.602 x 10^-19 J).
NEXT STEPS
  • Research the derivation of the Duane-Hunt relation and its implications in quantum mechanics.
  • Learn about the Planck-Einstein equation and its role in photon energy calculations.
  • Explore the relationship between frequency and wavelength in electromagnetic radiation.
  • Investigate the significance of constants in physics, particularly in quantum theory.
USEFUL FOR

Students studying quantum mechanics, physicists verifying photon energy calculations, and educators teaching the principles of light and energy relationships.

saiyaex
Messages
11
Reaction score
0

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!
 
Physics news on Phys.org
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?
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
5K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
2
Views
2K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
8K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 3 ·
Replies
3
Views
840