Modern Physics Introduction Photon Energy and Wavelength

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SUMMARY

The discussion focuses on calculating the wavelength of light from photon energy using the equation E = hc/λ. Given a photon energy of 5.4 eV, the wavelength is calculated to be 229.630 nm using the constant hc = 1240 eV*nm. This calculation confirms the relationship between energy and wavelength in quantum physics.

PREREQUISITES
  • Understanding of photon energy and wavelength relationships
  • Familiarity with the equation E = hc/λ
  • Knowledge of the constant hc = 1240 eV*nm
  • Basic concepts of quantum mechanics
NEXT STEPS
  • Study the implications of photon energy in quantum mechanics
  • Learn about the electromagnetic spectrum and its relation to wavelength
  • Explore advanced calculations involving Planck's constant
  • Investigate applications of photon energy in modern physics
USEFUL FOR

Students studying physics, educators teaching quantum mechanics, and anyone interested in the properties of light and its interactions.

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Homework Statement


Suppose that a beam of light consists of photons having an energy of 5.4 eV. what is the wavelength of the light?


Homework Equations


hc = 1240 eV*nm

E = \frac{hc}{\lambda}


The Attempt at a Solution



5.4eV = \frac{1240eV*nm}{\lambda}

\lambda = \frac{1240ev*nm}{5.4eV}
\lambda = 229.630 nm
 
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