Black Hole Mass Accretion Temperature

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SUMMARY

The discussion centers on calculating the temperature of a cloud of material falling into a black hole, specifically using the relationship between kinetic energy and temperature. The kinetic energy formula, 1/2m(v)^2, is proposed as a method to derive temperature, with Boltzmann's law being suggested as a more suitable approach. Additionally, the use of Wien's law for determining the peak wavelength of radiation from the material is confirmed as a valid method once the temperature is established.

PREREQUISITES
  • Understanding of kinetic energy and its relation to temperature
  • Familiarity with Boltzmann's law
  • Knowledge of Wien's law for blackbody radiation
  • Basic concepts of black hole physics
NEXT STEPS
  • Research the application of Boltzmann's law in astrophysical contexts
  • Study Wien's law and its implications for blackbody radiation
  • Explore the physics of accretion disks around black holes
  • Investigate the relationship between kinetic energy and temperature in astrophysical phenomena
USEFUL FOR

Astronomers, astrophysicists, and students studying black hole physics or thermodynamics in astrophysical contexts.

purple_wave
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Hey everyone,
I have a quick question. I have to find out how hot a cloud of material falling into a black hole would become. I have a hint that it is due to the gain in kinetic energy the material experiences as it falls in, but I'm not sure how to relate the two. Also, I have to find the peak wavelength that would radiate if the material emitted as a blackbody, but I'm assuming I can just use Wein's law once I know the temperature.
Thanks!
 
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I just thought of something,
could I use the relationship 1/2m(v)^2 = 3/2kT to find the temperature from the kinetic energy?
 
Boltzmann's law appears more appropriate.
 

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