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Black Body Radiation

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📖 Definition

What is a Black Body?

Perfect absorber, perfect emitter.

A black body is an idealized object that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence. It does not reflect or transmit any radiation. Because it absorbs everything, it appears perfectly black at thermal equilibrium.

↳ A black body is a perfect absorber and emitter of radiation.

💡 Key Idea

Emission Spectrum

Hot black bodies glow with a continuous spectrum.

A black body at a given temperature emits radiation across a continuous spectrum—all wavelengths are present, but the intensity varies with wavelength. The spectrum depends only on the body's temperature, not on its material or shape.

↳ The emission spectrum of a black body is continuous and temperature-dependent.

⭐ Important Fact

Temperature Dependence

Hotter means brighter and bluer.

The total energy emitted per unit area per unit time (radiant exitance) increases dramatically with temperature. This is quantified by the Stefan-Boltzmann law: $E = \sigma T^4$, where $\sigma$ is the Stefan-Boltzmann constant ($5.67 \times 10^{-8} \, \text{W m}^{-2} \text{K}^{-4}$).

↳ Radiant power scales with the fourth power of absolute temperature.

📖 Smart notes

What you'll study, topic by topic

1

Black Body Radiation: Definition and Key Points

Black body radiation describes the electromagnetic radiation emitted by an idealized perfect absorber and emitter. The spectrum depends only on temperature, governed by Planck's law, with Stefan-Boltzmann law for total p...

  • A black body absorbs all incident radiation and emits a continuous spectrum dependent only on temperature.
  • The Stefan-Boltzmann law states total emitted power is proportional to the fourth power of absolute temperature: $P = \sigma A T^4$.
  • Wien's displacement law gives the peak emission wavelength: $\lambda_{\text{max}} = b/T$.

~8 min · full explanation, examples & memory tricks in the app

❓ Leveled MCQ practice

Try the smart MCQs from this kit

18 questions laddered from warm-up to topper-level, each with an explanation. A taste:

What is a black body in physics?

Beginner
A A body that emits only visible light B An idealized object that absorbs all incident electromagnetic radiation C An object that appears black in color D A body that reflects all radiation
Show answer & explanation

An idealized object that absorbs all incident electromagnetic radiation

A black body is an idealized physical body that absorbs all incident electromagnetic radiation, regardless of frequency or angle of incidence.

Which of the following is true about a black body's emission?

Beginner
A It emits radiation only at one specific wavelength B It emits no radiation C It emits radiation with a spectrum that depends only on its temperature D It emits radiation only in the visible range
Show answer & explanation

It emits radiation with a spectrum that depends only on its temperature

A black body emits radiation across all wavelengths, and the spectral distribution depends solely on its temperature, as described by Planck's law.

The term 'black body' is used because such an object:

Beginner
A Emits only black light B Is always black in color C Absorbs all incident light, making it appear black at low temperatures D Reflects all light
Show answer & explanation

Absorbs all incident light, making it appear black at low temperatures

At low temperatures, a perfect absorber would not reflect any light, so it would appear black. Hence the name 'black body'.

What does the spectrum of black body radiation depend on?

Beginner
A The surface texture B The shape of the body C The temperature of the body D The material of the body
Show answer & explanation

The temperature of the body

The black body spectrum is universal and depends only on the temperature, not on the material or shape.

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