Determining the Temperature of a Star

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  • 0:01 Using Color for Temperature
  • 0:33 What Is a Spectrum?
  • 2:16 Wavelengths & Temperature
  • 3:56 Color & Temperature
  • 5:40 Lesson Summary
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Lesson Transcript
Instructor: Artem Cheprasov

Artem has a doctor of veterinary medicine degree.

This lesson will explain to you the concepts of a spectrum, electromagnetic radiation, the temperature of a faraway star and how that relates to something known as a blackbody curve and Wien's law.

Using Color for Temperature

We all love pretty colors. Maybe your favorite one is blue, or green, or red. Perhaps you enjoy the whiteness of snow or a colorful sunset. But the beautiful colors you see, the ones your eyes can process, aren't just there for looks.

What I mean is, while we can use colors to code or classify things, like a terror alert system, or to indicate our mood, we can also use them to gauge the temperature of a distant star as well. It's true, and this lesson will tell you how.

What Is a Spectrum?

What color is the light emitted by the sun? If you look up in the middle of the day, you might say something like white or yellow. Later, during sunset, you might tell me it's red. The real answer is that the sunlight is a mixture of a lot of different colors! All of the ones we just went over and lots more.

If you've ever used a prism to make a rainbow out of sunlight, you created a spectrum, an arrangement of light according to wavelength - in this case, of visible light. It used to be thought that the prism actually added color to the white light. But Newton disproved this when he placed another prism to just one of the colors of the rainbow created by the first prism. Since the color remained unchanged by the second prism, this proved that the original sunlight was separated out into different colors and no color was added to it.

But there's something even more interesting going on here than what meets the eye. British astronomer William Herschel also passed sunlight though a prism, just like Newton, but he held a thermometer just beyond where the red end of the visible spectrum was. To his amazement, the temperature increased! What does this mean?

It means that visible light is only one part of something much bigger. That bigger thing is called the electromagnetic spectrum, and it includes all the different forms of electromagnetic radiation (energy), which includes visible light. The electromagnetic spectrum is split up not by true color as per our prism example before but by wavelength or frequency.

Using Wavelength to Find Temperature

The simplest way an object can produce more light is by increasing its temperature. For example, a light bulb's filament emits light because the electrical energy the light bulb uses causes its filament to go up to a very high temperature.

The hotter an object, the brighter it becomes. Hotter objects emit most of their energy at shorter wavelengths. Conversely, colder objects emit little energy, and the wavelengths of light of maximal intensity in colder objects tend to be that of longer wavelengths. But because stars emit a lot of different wavelengths of light, we need a way to determine how much, proportionately speaking, each different wavelength of light is being emitted.

One way to do this is to make a blackbody curve, a graph that plots wavelength vs. intensity of light, thanks to data gleaned from specialized cameras. A blackbody is a theoretically perfect radiator. In such a curve, as the temperature of an object changes, so does the graph of the spectrum. A higher temperature would have a graph where the peak of the curve is located at shorter wavelengths and vice versa for a colder temperature.

This notion is known as Wien's Law , and it can be boiled down to this: the wavelength of maximum intensity that a blackbody emits is inversely proportional to its temperature. The hotter the temperature, the shorter the wavelength at which a hot star emits its maximum radiation. The reverse is true as well.

Color and Temperature

A blackbody curve shows light intensity versus wavelength
Blackbody Curve

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