Concept Simulation 26.1 illustrates the concepts that are pertinent to this prob

Question

Concept Simulation 26.1 illustrates the concepts that are pertinent to this problem. The angle of incidence at a solid/liquid boundary is 83.8°, and the index of refraction of the solid is n = 1.86. (a) What must be the index of refraction of the liquid such that the direction of the light entering the liquid is not changed? (b) What is the largest index of refraction that the liquid can have, such that none of the light is transmitted into the liquid and all of it is reflected back into the solid?

Explanation / Answer

a)
we want to have i = r
so, sin i = sin r

use snell's law:
n1*sin i = n2* sin r
since sin i =sin r
n1=n2
Answer: 1.86

b)
for all the light to reflected back, i = 83.8 degree should be critical angle
In this case, r = 90 degree

use snell's law:
n1*sin i = n2* sin r
1.86*sin 83.8 = n2*sin 90
n2 = 1.85
Answer: 1.85

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