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Black Body Radiation

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Edexcel IAL Physics · Thermal Radiation

Black Body Radiation

🔑 The Big Idea: Every object radiates energy as electromagnetic waves just because it has a temperature — and the hotter it is, the more energy it pumps out, and the shorter (bluer) the wavelength of its peak radiation becomes.
Summary — What This Chapter Covers
  • All objects, no matter their temperature, emit black body radiation — thermal energy in the form of EM waves.
  • A perfect black body absorbs 100% of radiation hitting it (reflects/transmits none) — and is therefore also the best possible emitter.
  • Black bodies produce a characteristic intensity vs wavelength curve that depends only on temperature.
  • The Stefan-Boltzmann Law tells us the total power radiated: L = σAT⁴.
  • Wien's Law tells us where the peak of that curve sits: λ_max T = 2.9 × 10⁻³ m K.
  • Hotter objects emit shorter, more energetic wavelengths (shift towards blue/UV); cooler objects emit longer wavelengths (shift towards red/IR).
  • Stars are the closest real-world approximation to perfect black bodies — this is how astronomers estimate stellar surface temperatures from colour alone.
Core Topics

1What Is Black Body Radiation?

Here's the surprising bit: you don't need to set something on fire for it to give off radiation. Anything with a temperature above absolute zero radiates energy — your body, a cup of tea, a brick wall, the Sun, all of it. This radiation is called black body radiation, and it's just thermal energy escaping as electromagnetic waves.

Most everyday objects (room temperature, your body, a warm mug) radiate mostly in the infrared part of the spectrum — invisible to our eyes but detectable with a thermal camera. But as an object gets hotter, two things happen simultaneously:

  • It radiates more total energy per second (it gets "louder" overall).
  • The peak wavelength shifts shorter — towards visible light, then towards blue/UV if it's hot enough (like a star).
Analogy: Think of a metal poker heated in a fire. At first it just feels warm (infrared only, invisible). Heat it more and it starts to glow dull red. Heat it further and it glows orange, then yellow-white. You're literally watching the peak wavelength of its black body spectrum slide down through the visible spectrum as temperature rises — this is black body radiation in action, right in front of you.
The Perfect Black Body — Definition
Definition to memorise word-for-word

A perfect black body is an object that absorbs all the radiation incident on it, and does not reflect or transmit any radiation.

Here's the clever logic chain examiners love to test: a good absorber is also a good emitter. So a perfect black body — being the best possible absorber — is automatically the best possible emitter too. And since black objects are what you get when all visible colours are absorbed (no light bounces back to your eye), a perfect black body would visually appear black at low temperatures. That's where the name comes from — it's not about being literally black in colour at all temperatures, it's about being a perfect absorber/emitter.

ColourAbsorbingEmitting
BlackGood absorberGood emitter
Dull / DarkReasonable absorberReasonable emitter
WhitePoor absorberPoor emitter
ShinyVery poor absorber (good reflector)Very poor emitter
Quick check

2

intensity

3

T⁴

4

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Also in the full note
  • 2Black Body Radiation Curves
  • 3The Stefan-Boltzmann Law
  • 4Wien's Law
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