Newton's Prism Experiment - Free Educational videos for Students in K-12 | Lumos Learning

Newton's Prism Experiment - Free Educational videos for Students in k-12


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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