In the figure, light is incident at angle ? 1 = 41.0? on a boundary between two
ID: 1290784 • Letter: I
Question
In the figure, light is incident at angle ?1 = 41.0? on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.30, n2 = 1.40,n3 = 1.30 and n4 = 1.45, what is the value of (a)?4 and (b)?5?
In the figure, light is incident at angle ?1 = 41.0? on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.30, n2 = 1.40,n3 = 1.30 and n4 = 1.45, what is the value of (a)?4 and (b)?5?Explanation / Answer
a.
The value of the angle ?4 is,
?4 = sin-1 {[n1/n4]sin?1}
= sin-1 {[1.30 / 1.45]sin41o}
= 36.028o
= 36o
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b.
The value of the angle ?5is,
?5 = sin-1 {[n1/nair]sin?1}
= sin-1 {[1.30 / 1.0]sin41o}
= 58.5o
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