How Does Temperature Affect Electromagnetic Waves?

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SUMMARY

The discussion clarifies the relationship between temperature and electromagnetic (EM) waves, emphasizing that temperature refers to the average vibration of atoms. It distinguishes between the temperature of the object emitting the wave, calculable via Wien's displacement law or Planck's law, and a more abstract concept where temperature is derived from the frequency of the wave using the formula T = ħω/k_B. This approach allows for convenient calculations in various systems, including expressing temperature in Hertz.

PREREQUISITES
  • Understanding of basic thermodynamics and atomic theory
  • Familiarity with electromagnetic wave properties
  • Knowledge of Wien's displacement law and Planck's law
  • Basic grasp of quantum mechanics, particularly Planck's constant and Boltzmann's constant
NEXT STEPS
  • Study Wien's displacement law and its applications in thermal radiation
  • Explore Planck's law and its significance in quantum mechanics
  • Learn about the relationship between frequency and energy in photons
  • Investigate the concept of temperature in different physical systems
USEFUL FOR

Physicists, students of thermodynamics and quantum mechanics, and anyone interested in the interplay between temperature and electromagnetic radiation.

jainabhs
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What exactly is tempertaure?
As far as I know it represents the average vibration of atoms.
How it relates to EM wave? because I have read in many Physics texts saying that 'the temperature of this wave is X Kelvin'. How do they find the temperature of individual EM wave?

Correct me if I am wrong for following:
Suppose an aluminium rod and wood are at room temperature;In case of Aluminium rod the atoms as well as free electrons would contribute to its temperature. For wood I think only the atoms will contribute.
 
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jainabhs said:
How it relates to EM wave? because I have read in many Physics texts saying that 'the temperature of this wave is X Kelvin'. How do they find the temperature of individual EM wave?

It is not really the temperature of the EM wave. "Temperature" can here mean one of two things: either the temperatures of the object that EMITTED the wave (which can be calculated using Wien's displacement law, or more generally Planck's law) or it simply means that they multiplied the frequency by Planc's constant (=the energy if the photons) and then divided by Boltzmann's constant. T=\hbar \omega/k_B

The latter is actually quite common and is done for convenience when dealing with some systems, note that you can obviously also invert this relationship and measure "temperature" in units of Hz (something I use quite frequently) or measure potential energy in Kelvins.
 

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