1 00:00:00,000 --> 00:00:00,660 2 00:00:00,660 --> 00:00:03,520 Before doing more examples with Snell's Law, which essentially 3 00:00:03,520 --> 00:00:05,820 amount to some math problems, what I want to do 4 00:00:05,820 --> 00:00:07,880 is get an intuitive understanding 5 00:00:07,880 --> 00:00:11,440 for why this straw looks bent in this picture right over here. 6 00:00:11,440 --> 00:00:13,270 To do that, let me just draw a simplified 7 00:00:13,270 --> 00:00:14,910 version of that picture. 8 00:00:14,910 --> 00:00:18,880 So let's draw, this is the cup right over here. 9 00:00:18,880 --> 00:00:21,080 We'll do a side profile of the cup. 10 00:00:21,080 --> 00:00:27,710 So this is a side profile of this glass right over here. 11 00:00:27,710 --> 00:00:29,410 It's the best that I can draw it. 12 00:00:29,410 --> 00:00:31,580 And then let me draw the actual straw. 13 00:00:31,580 --> 00:00:35,400 So I'm going to first draw the straw where it actually is. 14 00:00:35,400 --> 00:00:37,720 So it's coming in off the side of the cup, 15 00:00:37,720 --> 00:00:40,080 and the straw is actually not bending, 16 00:00:40,080 --> 00:00:43,350 and it goes to the bottom of the cup just like that. 17 00:00:43,350 --> 00:00:46,380 And then it goes up like that, and then it 18 00:00:46,380 --> 00:00:47,360 goes slightly above it. 19 00:00:47,360 --> 00:00:49,810 And then it actually does bend up here, up here, right 20 00:00:49,810 --> 00:00:51,851 over here, and then the straw actually does bend. 21 00:00:51,851 --> 00:00:54,112 But that is irrelevant to what we want to talk about. 22 00:00:54,112 --> 00:00:56,570 What I want to do in this video is talk about why-- when we 23 00:00:56,570 --> 00:01:02,150 look over here, why does it look like the straw got bent? 24 00:01:02,150 --> 00:01:04,780 And it all comes out of the refraction 25 00:01:04,780 --> 00:01:09,820 of the light as the light from the straw down here changes, 26 00:01:09,820 --> 00:01:11,500 as it goes from one medium to another. 27 00:01:11,500 --> 00:01:13,370 Now, we know from refraction indices, 28 00:01:13,370 --> 00:01:16,910 or just in general, that light moves slower in water 29 00:01:16,910 --> 00:01:17,930 than it does in air. 30 00:01:17,930 --> 00:01:22,410 So it's slower in water and faster in air. 31 00:01:22,410 --> 00:01:25,200 32 00:01:25,200 --> 00:01:28,250 So let's think about what's going to happen. 33 00:01:28,250 --> 00:01:32,260 Let me draw two rays that are coming 34 00:01:32,260 --> 00:01:34,790 from this point on the straw right over here. 35 00:01:34,790 --> 00:01:38,810 So if I draw one ray right over here, 36 00:01:38,810 --> 00:01:41,630 so I'm just going to pick an arbitrary direction. 37 00:01:41,630 --> 00:01:45,230 So if I pick one ray just like that. 38 00:01:45,230 --> 00:01:47,800 Now, when it goes from the slower medium to the faster 39 00:01:47,800 --> 00:01:49,620 medium, what's going to happen to it? 40 00:01:49,620 --> 00:01:52,540 And it's at a slight angle here, so the left side of the ray 41 00:01:52,540 --> 00:01:55,160 is going to end up in the air before the right side. 42 00:01:55,160 --> 00:01:58,177 And I'm just using this as a way of the-- I'm 43 00:01:58,177 --> 00:01:59,760 using the car example to kind of think 44 00:01:59,760 --> 00:02:01,650 about which way this light's going to bend. 45 00:02:01,650 --> 00:02:03,566 So if you visualize it as a car-- or sometimes 46 00:02:03,566 --> 00:02:05,150 people visualize as a marching band-- 47 00:02:05,150 --> 00:02:06,661 the left side of the marching band 48 00:02:06,661 --> 00:02:08,410 is going to get out before the right side. 49 00:02:08,410 --> 00:02:10,020 And it's going to start moving faster. 50 00:02:10,020 --> 00:02:11,603 So this is going to turn to the right. 51 00:02:11,603 --> 00:02:15,500 52 00:02:15,500 --> 00:02:18,290 Now, let me do another ray. 53 00:02:18,290 --> 00:02:21,600 So let me do another ray that's going from that same point. 54 00:02:21,600 --> 00:02:24,020 I don't want it to go right along the straw, 55 00:02:24,020 --> 00:02:25,720 so another ray just like that. 56 00:02:25,720 --> 00:02:28,040 It will also turn to the right. 57 00:02:28,040 --> 00:02:30,930 So it is also going to turn to the right. 58 00:02:30,930 --> 00:02:37,080 Now, if someone's eye is right over here, so that's your eye. 59 00:02:37,080 --> 00:02:38,360 That's the eyelashes. 60 00:02:38,360 --> 00:02:39,240 That someone's eye. 61 00:02:39,240 --> 00:02:42,160 You can draw their nose and all the rest. 62 00:02:42,160 --> 00:02:44,010 If they're looking down, where does it 63 00:02:44,010 --> 00:02:45,730 look like these two light rays-- let's 64 00:02:45,730 --> 00:02:48,396 say their eye is big enough that it captured both of these rays. 65 00:02:48,396 --> 00:02:51,480 Where does it look like these two rays are coming from? 66 00:02:51,480 --> 00:02:53,010 So if you trace both of these rays 67 00:02:53,010 --> 00:02:55,476 back, if you just assume that there was a line here, 68 00:02:55,476 --> 00:02:57,100 that's what our eyes and our brains do. 69 00:02:57,100 --> 00:03:00,120 If you assume that whatever direction this ray is currently 70 00:03:00,120 --> 00:03:02,660 going is the direction it came from, 71 00:03:02,660 --> 00:03:07,700 and same thing for this magenta ray, just like that, 72 00:03:07,700 --> 00:03:10,610 it would look to this observer that this point on the straw 73 00:03:10,610 --> 00:03:12,682 is actually right over there. 74 00:03:12,682 --> 00:03:14,140 And it would look-- and if you kept 75 00:03:14,140 --> 00:03:16,320 doing that for a bunch of points on the straw, 76 00:03:16,320 --> 00:03:18,070 it would look like this point on the straw 77 00:03:18,070 --> 00:03:19,650 is actually right over here. 78 00:03:19,650 --> 00:03:22,440 It would look like we could do it for this point on the straw. 79 00:03:22,440 --> 00:03:24,190 It would look like that point on the straw 80 00:03:24,190 --> 00:03:25,940 is actually right over here. 81 00:03:25,940 --> 00:03:30,440 So to this observer, the straw would look like this. 82 00:03:30,440 --> 00:03:39,240 It would look like something like that. 83 00:03:39,240 --> 00:03:40,610 It would look bent. 84 00:03:40,610 --> 00:03:43,520 This part would-- even though the light from here 85 00:03:43,520 --> 00:03:46,390 is going up and then up and then it moves out, 86 00:03:46,390 --> 00:03:48,390 because it gets bent, when you converge it back, 87 00:03:48,390 --> 00:03:49,850 it would converge to this, just like we 88 00:03:49,850 --> 00:03:50,970 saw with that first point. 89 00:03:50,970 --> 00:03:53,570 The light from this point, when it goes out and gets bent, 90 00:03:53,570 --> 00:03:55,960 if you were to just extrapolate backwards 91 00:03:55,960 --> 00:03:58,280 from their new directions, you'd get to that point. 92 00:03:58,280 --> 00:04:01,170 So to this observer, this point on the straw 93 00:04:01,170 --> 00:04:04,140 will look to be right over here, even though the light was 94 00:04:04,140 --> 00:04:05,430 emitted down here. 95 00:04:05,430 --> 00:04:10,720 And that's why the straw actually looks bent. 96 00:04:10,720 --> 00:04:12,770 So this is all really just because of refraction, 97 00:04:12,770 --> 00:04:15,423 from going from a slow or medium to a faster one. 98 00:04:15,423 --> 00:04:17,589 So hopefully you find that a little bit interesting. 99 00:04:17,589 --> 00:04:19,677 In the next video, we'll actually do some examples 100 00:04:19,677 --> 00:04:21,260 with Snell's Law just to get ourselves 101 00:04:21,260 --> 00:04:23,440 comfortable with the mathematics. 102 00:04:23,440 --> 00:00:00,000