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As shown in the figure below, a beam of light traveling in medium 2 experiences

ID: 1786921 • Letter: A

Question

As shown in the figure below, a beam of light traveling in medium 2 experiences total internal reflection when it encounters the interface separating medium 2 from medium 1. The angle of incidence is 45®, and medium 1 is a particular type of glass with an index refraction equa chance tote square o to 20 What, if anything, can you say about the index of refraction of medium 2? (Select all that apply.) medium I 45 145 medium 2 The index of refraction of medium 2 is equal to that of medium 1. The index of refraction of medium 2 is larger than that of medium 1 O The index of refraction of medium 2 is smaller than that of medium 1. O The index of refraction of medium 2 is exactly 2.0, for certain O The index of refraction of medium 2 is greater than 2.0 The index of refraction of medium 2 is larger than the square root of 2.0, and less than or equal to 2.0.

Explanation / Answer

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use from snells law

n2 Sin i = n1 sin r

i is angle of incidence

r is angle of refraction = 90 deg

n1 = sqrt2 = 1.414

since here light is reflecting back, this happens at critial angle

n2* sin c = n1 sin 90


n2 * sin 45 =1.414

n2 = 1.414/sin 45

n2 = 2

thus refractive index of medium 2 is exatly 2 for certai.

this is clearly greater than the refractive index of medium 1.

thus option 2 and 4 are true.

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