Physics · Glossary

What is Continuous spectrum?

Definition 2.5 High School Physics · Chapter 2 — Light Spectra and the Message of Light

Dense, hot matter — the filament of a bulb, molten steel, the surface of a star — glows, and its light contains every wavelength over a wide range: an unbroken band of color with nothing missing. Such a spectrum is a continuous spectrum. It carries no trace of the chemical nature of the body: a white-hot iron bar and a white-hot copper bar glow alike. What it does encode — entirely — is the temperature.

Examples

Example 2.9 (Taking the Sun’s temperature)

The Sun’s continuous spectrum is most intense near λmax=500nm\lambda_{\max} = 500\,\mathrm{nm}. Wien’s law gives its surface temperature:

T=2.90×103mK5.00×107m=5800K,T = \frac{2.90 \times 10^{-3}\,\mathrm{m}\,\mathrm{K}}{5.00 \times 10^{-7}\,\mathrm{m}} = 5800\,\mathrm{K},

about 5500C5500{}^{\circ}\mathrm{C} — measured from 150150 million kilometers away, with a prism and a division.

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