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29:50 Modern Astronomy
Fall 2002
Lecture 9 ...September 18, 2002
Starlight

Light

What is light? A: A wave of electricity and magnetism. Good discussion on p92 of textbook. We can specify waves by a number of properties; two of the most important are wavelength tex2html_wrap_inline56 and speed at which the wave propagates. Two other important ones are the amplitude of the wave and the frequency.
tex2html_wrap_inline58 Demonstration with wave machine.

For light waves the speed is special tex2html_wrap_inline60 meters/sec = 186,000 miles per second.

The electromagnetic spectrum What is the wavelength of light to which the human eye is sensitive? Answer: 0.00000040 - 0.00000070 meters. Bah! Use scientific notation: tex2html_wrap_inline62 meters.
tex2html_wrap_inline64 A lot of other phenomena are identical to light except the wavelength is different.
tex2html_wrap_inline58 Transparency, Figure 6-5.
tex2html_wrap_inline64 Longer wavelength: infrared (IR), microwave, radio waves.
tex2html_wrap_inline64 shorter wavelength: ultraviolet (UV), X-rays, Gamma rays.

tex2html_wrap_inline64 How is electromagnetic radiation produced? A; lots of ways. One important way is blackbody radiation. Hot objects emit light. Hotter objects emit more light.
tex2html_wrap_inline58 illustration/demonstration with light bulb.

To talk about production and characteristics of light, we need to introduce a defintion: a spectrum. Spectrum is intensity of light versus (``is a function of'', in fancy mathematical language) wavelength.
tex2html_wrap_inline58 Graph of intensity of light versus wavelength.

Experiments in the golden days of yesteryear Many experiments on light in 19th century. Two important developments:
(1) The hotter the object, the brighter it glows.
(2) The hotter the object, the bluer it is.
tex2html_wrap_inline58 Transparency with blackbody radiation.

The main results of 19th century physics regarding light production are summed up in Kirchoff's Laws, described in your book.

Systems of Temperature If we are going to talk about temperature, we need a system. Common systems are:
tex2html_wrap_inline64 Fahrenheit: lousy for scientific use.
tex2html_wrap_inline64 Centigrade: 0 tex2html_wrap_inline84 C - 100 tex2html_wrap_inline84 C
tex2html_wrap_inline64 Kelvin: same degrees as Centigrade; but zero is absolute zero. All molecular motion stops. ``Atoms would lie on the floor like marbles''.

Some temperature in the Kelvin system:
0K - ABSOLUTE ZERO!!!
77K - Temperature of liquid nitrogen
290K - temperature in this room
373K - water boils.

The relation between color and temperature: Wien's Law ``Say it with equations''

A blackbody radiator glows brightest (is most intense) at a wavelength (in meters) tex2html_wrap_inline90 . tex2html_wrap_inline92 is related to the temperature (in Kelvins) by Wien's Law:

eqnarray32

Let's work out some examples. I just said that objects at a finite temperature emit light, but that seems to be a lie. The tabletop is hotter than absolute zero, but it is not glowing. What's up? Use Wien's law.
Temperature of tabletop is tex2html_wrap_inline94 K. Figure out wavelength at which it is brightest. tex2html_wrap_inline96 meters. This equals 10 microns. It is more than ten times longer than the longest wavelength that the human eye is sensitive to. It is in the infrared part of the spectrum.

Now let's try the Sun.
The Solar Spectrum
Longrightarrow Spectrum of Sun. It looks like a blackbody in the sense of a steep rise and a slow decline with wavelength. There is a peak at about 475 nanometers = tex2html_wrap_inline100 meters.
Let's use Wien's Law, tex2html_wrap_inline102 K
Real hot! This gives us our first idea of what the temperatures of stars are like.

tex2html_wrap_inline104 Now think about the color of Vega, and think about what that tells you about the star.




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Next: About this document Up: No Title

Steve Spangler
Wed Sep 18 08:32:09 CDT 2002