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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114

Problem 52 Medium Difficulty

Light is refracted as it travels from a point A in medium 1 to a point $\mathrm{B}$ in medium $2 .$ If the index of refraction is 1.33 in medium
1 and 1.51 in medium $2,$ how much time does it take for light to go
from $\mathrm{A}$ to $\mathrm{B},$ assuming it travels 331 $\mathrm{cm}$ in medium 1 and 151 $\mathrm{cm}$ in
medium 2 ?

Answer

22.3 $\mathrm{ns}$

Related Courses

Physics 103
Physics

Chapter 26

Geometrical Optics

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Wave Optics

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Video Transcript

all right. So this problem we have a ray of light is traveling through two mediums. It travels 3.31 years through the first medium that has an index of a fraction of 1.33 and then it travels 1.51 meters through the second medium, which has an index of refraction of 1.51 And the question that we're trying to answer is how much time does it take to travel through these two mediums and across these two distances? So, 1st 1 to say that the time it takes to travel through the first medium, it's gonna be equal to the distance. It travels to the first medium divided by the velocity of light within the first medium. We know the distance in the first medium is 3.31 meters. We don't know the velocity of light from first meeting how we can find it. We can say that the index of refraction of light within the first medium is simply equal in speed of light, divided by the velocity of light within the first medium. So the velocity of light within the first media must be equal to the speed of light divided by the index of refraction. Now we know the speed of light. We know the index of refraction so you can plug us into our equation. Would say this is equal to see over. And one would say finally, that TV one is gonna be equal to 3.31 divided by the speed of light which is three times 10 to the eighth all over the of refraction and one which is 1.33 If you plug all this correctly into our calculator, we should get an answer of 14 points. Seven nanoseconds now do the same thing for T to I would say that time it takes for the light travels. Second medium to be equal to the distance has to travel divided by the velocity is traveling at. So the distance a has travel is 1.51 divided by we do the same manipulation with the index of refraction. It's in the second medium. In order to find that it's equal to see over and to be equal to 51 fired by three times 10 to the eighth over and to which is 1.5. Now, if we do this correctly in our calculator, we should get an answer of 7.69 seconds. And to find the total time we simply adding two times together, we say t one plus t two. It's gonna be Teoh a total of 22.3 nanoseconds. That's the answer.

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