Difference between revisions of "Blackbody Radiation Mathematica"
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2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K. | 2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K. | ||
| + | :-it is recommended that you cut/paste the plot statement above and then modify it, so you have reference to a standard plot...same goes for the next few graphs. | ||
3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text. | 3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text. | ||
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4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K. | 4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K. | ||
| − | All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: | + | 5) All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: https://en.wikipedia.org/wiki/Planck%27s_law |
| − | https://en.wikipedia.org/wiki/Planck%27s_law | + | (Note: the wiki page uses spectral radiance as opposed to spectral density; the difference appears to be only a constant). |
Revision as of 14:05, 17 January 2019
Mathematica is an excellent software package to visualize equations. In this activity, you will ultimately reproduce the Figure 1.2 from your textbook (Engle/Reed) showing the variation in the frequency output from a blackbody radiator. But first...
1) Plot the frequency vs. spectral density when the blackbody is at 3000 K.
2) Now plot 2 functions (as in part 1) on the same graph for 3000 K and 4000 K.
- -it is recommended that you cut/paste the plot statement above and then modify it, so you have reference to a standard plot...same goes for the next few graphs.
3) Expand on this plot in part 2 to reproduce Figure 1.2 in your text.
4) Now use the "Manipulate" function in Mathematica to produce an interactive plot for temperature ranging from 3000 - 4000 K.
5) All of the above graphs are plots of frequency vs. spectral density...can we then do the same as above (1-4) for a function that uses wavelength as opposed to frequency? See this wiki page: https://en.wikipedia.org/wiki/Planck%27s_law (Note: the wiki page uses spectral radiance as opposed to spectral density; the difference appears to be only a constant).