Does Light in a Box Have Momentum?

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SUMMARY

The discussion centers on the momentum of light within a box, utilizing the equation =c ε E²/2 and ΔP = A Δt /c. The user questions the necessity of the box height in calculations and seeks clarification on the reduction of intensity from 1400 W m-2 to 1000 W m-2. Additionally, the user inquires why reflection does not alter the momentum outcome. These points highlight the complexities of calculating light pressure and momentum in confined spaces.

PREREQUISITES
  • Understanding of light pressure and momentum concepts
  • Familiarity with the equations of electromagnetic radiation
  • Knowledge of the principles of reflection in physics
  • Basic grasp of units of measurement in physics (W m-2)
NEXT STEPS
  • Research the derivation of light pressure equations in confined spaces
  • Study the implications of reflection on light momentum
  • Explore the concept of energy density in electromagnetic fields
  • Learn about the conservation of momentum in photon interactions
USEFUL FOR

Physics students, educators, and researchers interested in the behavior of light in confined environments and the principles of momentum transfer in electromagnetic radiation.

DrPapper
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Homework Statement



Question.png

Homework Equations


<S>=c\epsilonE2/2

\Delta P = A \Delta t &lt;S&gt;/c

The Attempt at a Solution


My question is if we need the "box height"? This is my work which I'm assuming is wrong. :C
New canvas.jpg
If there's another problem like this on here please put a link. I didn't see any, but my search terms may not have been ideal "Pressure of light in a box".
 
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What is the momentum of the light? Why did 1400 W m-2 become 1000 W m-2? You didn't say why reflection doesn't change the answer.
 

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