WEBVTT
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to solve this question, we have to relate.
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Teacher A With the refraction index, it's off liquids
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A, B and C. We begin by remembering
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that a total internal reflection is the same as an
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angle off refraction off 90 degrees. Therefore, in
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these interface between liquid and gas, the refraction angle
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is 90 degrees, so we can apply Snell's law
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there by using Snell's law. There we get that
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the refraction index off the liquid times this sign off
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the angle of refraction. Izzy Kohstuh refraction index off
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00:00:40.969 --> 00:00:46.039 A:middle L:90%
glass times the incident angle which, according to my
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drawing and Steve the seat, notice that our is
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90 degrees on the sign off. 90 is one
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. So these is equals to one and we get
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n equals two and glass times this sign off the
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angle off incidence. No, As you can see
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from the figure, we can do this on the
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normals, meet at a 90 degree angle. The
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reform you can see that t to C and T
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Toby are such that they at 90 degrees. Then
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this sign off details see is equals to the co
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sign off the meat. So the index off a
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fraction off the liquid is the index off infraction off
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glass times they curl. Sign off, detail me
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. And now we have to relate. Victor,
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be with Tito A. In order to do that
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, we have toe applies now's law in these interface
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. By doing that, we get the following the
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index of refraction off air times. The angle off
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incidents teeter a is equals to the index off refraction
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off less times the sign off the angle of refraction
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in these cases, Toby. Then notice that an
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air is in question. Well, so we can
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solve this equation for the sign off. To me
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down the sign off the baby is equal to the
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sign off detail. Eight. Divided by the refraction
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index off glass. Using this equation, we can
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calculate it'll be for each off these three liquids and
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then using the value off it'll be, we can
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calculate device off the refraction index. Before doing that
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. Let me organize my board for liquid A.
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The sign off it'll be is equals to the sign
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off 52 degrees divided by 1.50 truth, and these
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results in an angle theta be off approximately 31 point
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to true six degrees. Then the refractive index off
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liquid A is given by 1.50 truth times. They
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have signed off 31.2 to 6. These results seen
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approximately one 0.3. Now for a liquid B,
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we have the sign off. The Derby equals to
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the sign off 44.3 degrees, divided by 1.50.
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Choose these results in an angle. Tita, be
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off approximately 27 points. 35 38 degrees. Then
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they refractive index off. With me, it's 1.53
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times They cursed Sign off 27.35 38 which results in
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approximately 1.35 now for liquid. See, we have
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sign off. It'll be being equal to the sign
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off 36.3, divided by 1.50 troops. The results
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in Tita be off approximately 22 0.922 degrees show.
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Their refractive index off liquid see is 1.52 times the
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co sign off 22.922. The results in an attractive
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index off approximately one 0.4 leases down. Start to
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this question