Why is the Spectrum of Ordinary Light Bulbs Continuous?

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SUMMARY

The spectrum of an ordinary light bulb is continuous due to its operation as a black body radiator, which emits light across a range of wavelengths when heated. This phenomenon aligns with thermodynamic principles, specifically Planck's law of black body radiation, which describes how temperature influences the emission spectrum. In contrast, sodium gas emits discrete wavelengths due to specific electron transitions, highlighting the difference between continuous and discrete spectra in quantum mechanics. The energy for these transitions in light bulbs originates from the thermal agitation of atoms in the heated filament.

PREREQUISITES
  • Understanding of black body radiation and Planck's law
  • Basic knowledge of thermodynamics principles
  • Familiarity with quantum mechanics and electron transitions
  • Concept of continuous vs. discrete spectra
NEXT STEPS
  • Research Planck's law of black body radiation
  • Study the principles of thermodynamics related to energy emission
  • Explore quantum mechanics focusing on electron transitions in atoms
  • Investigate the differences between continuous and discrete spectra in various light sources
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Students of physics, educators in thermodynamics and quantum mechanics, and anyone interested in the principles of light emission and spectral analysis.

Gavroy
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hi

i was wondering why the spectrum of an ordinary light bulb is continuous. i know that "i think it's thermodynamics" says that some temperature creates a specific continuous radiation, but how is this reconcilable with quantum mechanics and e.g. a sodium gas, that emits only a tiny yellow spectrum? and to which energy transitions does thermodynamics here refer to? where does this energy come from? i mean, if it is the crash of atoms that have such a high speed that electrons jump to higher levels, then this should be discrete transitions too, or where am I wrong?
 
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Ordinary light bulbs give off light from a heated wire, which acts like a black body.
 

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