Newton's Prism Experiment - By MITK12Videos
Transcript
00:13 | In this video , we're going to look at the | |
00:14 | relationship between white light and color by recreating a portion | |
00:17 | of Newton's prism experiment is presented in a letter to | |
00:20 | the Royal Society in 1671 , but first , a | |
00:22 | little bit of background at the time of his experiment | |
00:26 | . The prevailing theory was that white light was the | |
00:28 | color of light and that other colors could be created | |
00:30 | by modifying the white light . Somehow , for instance | |
00:33 | , this red piece of plastic would be described as | |
00:35 | changing this white light into red light . They also | |
00:38 | had knowledge about how light behaves at the boundary between | |
00:40 | two materials . For instance , a planer boundary . | |
00:42 | They knew that the ratio of the sine of the | |
00:44 | angle on each side of the boundary was fixed for | |
00:47 | a given set of materials . We now know this | |
00:50 | is a form of Snell's law where the ratio of | |
00:53 | the signs of the angles is equal to the inverse | |
00:55 | ratio of the refractive indices of the materials where the | |
00:57 | refractive index of the materials related to how fast light | |
01:00 | propagates through it . This expression allows us to predict | |
01:04 | what will happen to the plane or boundary as we | |
01:05 | change the angle of instance . It also allows us | |
01:08 | to deal with more complicated shapes like this triangular prism | |
01:11 | . It's just a matter of geometry and keeping track | |
01:14 | of the angles . Yeah , it was working on | |
01:16 | designing lenses for telescopes , we decided to investigate the | |
01:19 | phenomena prismatic colors . Those are the colors that occur | |
01:22 | when you pass white light through a prism , so | |
01:24 | obtained a triangular prism and he passed some white light | |
01:28 | through it and he saw rainbow just like he expected | |
01:32 | . But then he knows something in the direction that | |
01:35 | the colors were spread . The pattern was much wider | |
01:37 | than it should be based on the system geometry if | |
01:40 | light obeyed this fixed sign ratio law . So we | |
01:44 | did some experiments , he separated out individual colors in | |
01:47 | the spectrum and pass them through additional prisms . And | |
01:49 | when I came to realize was that all the colors | |
01:51 | in the spectrum are their own form of light , | |
01:54 | and they all experienced a different refractive index on traveling | |
01:57 | through these prisms . So this led him to the | |
01:59 | conclusion that the white light entering the prison wasn't really | |
02:04 | white . It was a combination of all these different | |
02:06 | colors and that all the prison was doing was separating | |
02:09 | them an angle by this varying refractive index . This | |
02:13 | is an interesting conclusion , but doesn't really prove what's | |
02:16 | happening because we're still relying on this prism to make | |
02:19 | these colors . So what we really need is an | |
02:21 | experiment where we can form these colors from white light | |
02:24 | without a prism . And at the end of his | |
02:26 | paper , Newton suggests just such an experiment . You | |
02:30 | start with the same system you had before and then | |
02:32 | you place a lens in the system . We start | |
02:40 | with our screen close to the lens and we see | |
02:41 | the same spectrum we saw before . Here is the | |
02:44 | light passing through the lens and above it we see | |
02:46 | the light that's sort of skipping the top of the | |
02:48 | lens As we move our screen away , the colors | |
02:51 | begin to overlap , until at one we see a | |
02:54 | band of white light as we continue to move the | |
02:57 | screen further away , we see the same spectrum that | |
03:00 | we started with , but with the colours now reversed | |
03:02 | as we move the screen in this experiment , there's | |
03:05 | nothing to cause this change of color that we're observing | |
03:08 | . The only thing that's changing is the overlap of | |
03:10 | the colors . So we can conclude that when we | |
03:12 | perceive this white light , what we're really seeing is | |
03:15 | a whole bunch of colours added together . Now it | |
03:19 | turns out that you don't actually need all these colors | |
03:21 | to trick your eyes into seeing white . If you're | |
03:23 | watching this on tv screen or a computer screen at | |
03:25 | home , what you're seeing is white is actually a | |
03:28 | combination of red , blue and green . But for | |
03:30 | our purposes we're seeing the sum of all the colors | |
03:34 | in the input spectrum . Okay , that's pretty neat | |
03:37 | . We start off with white light , we form | |
03:39 | a spectrum of color and then we use lens to | |
03:41 | combine it back in the white light but it only | |
03:44 | really combines in the white light at one spot . | |
03:47 | If we go further away from the lens and closer | |
03:49 | to the lens it's still clearly a spectrum . So | |
03:51 | is there a way to combine this white light so | |
03:53 | that we get a beam of white light , sort | |
03:55 | of like we had at the input . It turns | |
03:57 | out the answer is yes , but it's a little | |
03:59 | bit more complicated than you would expect . So a | |
04:03 | lot of books draw this system where we start with | |
04:05 | our original prison and we put a second one in | |
04:08 | something like this . And to our eyes , this | |
04:11 | looks like it's working . But it's not really all | |
04:14 | that's really happening is the light hasn't had enough time | |
04:18 | to spread , so it looks like it's white . | |
04:21 | But if you had a very sensitive instrument , you'd | |
04:22 | be able to tell that there's a change in color | |
04:24 | across this and you can see it more clearly by | |
04:27 | . I if we place this prism further down over | |
04:32 | here , it's clear that there's a change in color | |
04:34 | across the width of the beam . If you really | |
04:38 | want to make a beam of white light from this | |
04:39 | coloured spectrum , you can follow the method outlined in | |
04:41 | Newton's optics . This comes from his last experiment in | |
04:44 | book one . You start with a prism that we | |
04:47 | had before . Then you add the lens to the | |
04:49 | system and you want this length to be roughly twice | |
04:52 | the focal length of the lens at some distance away | |
04:57 | from the lens , will put another prison and this | |
05:00 | distance again should be roughly twice the focal length and | |
05:03 | we adjust the prison , and what we see is | |
05:08 | a reasonable approximation of white light . Now , you | |
05:11 | really should build this system with a much larger focal | |
05:14 | length lens and should build a much wider system to | |
05:16 | get a really good separation between these colors here and | |
05:19 | a very clear white beam at the output . But | |
05:22 | for this video , this will work . Thank you | |
05:26 | for watching . I hope you found this material interesting | |
05:28 | . If you'd like to learn more about Newton's optics | |
05:30 | experiments , I'd recommend to Resources online . One is | |
05:34 | the Project Gutenberg , where you can find a copy | |
05:36 | of Newton's book Optics . And the other is the | |
05:39 | Newton Project , where you can find a copy of | |
05:41 | most of Newton's papers . |
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