a) What transmission angle ? t would the beam make with the normal once it enter

Question

a) What transmission angle ?t would the beam make with the normal once it enters the glass? Express your answer in degrees.

b) What would be the angle of incidence ?1 the beam makes with the normal once it meets the second interface? Express your answer in degrees.

c) What would be the angle of transmission ?2 the beam makes with the normal once it exits the cylinder? Express your answer in degrees.

d)What is the direction, with respect to the original beam direction, does the beam leave the cylinder? Express your answer in degrees.

A beam of light is directed at a glass (n = 1.25) cylinder in a plane perpendicular to the cylinder axis. It strikes the cylinder at an angle of 49.0½ with respect to the normal at the point of incidence. a) What transmission angle ?t would the beam make with the normal once it enters the glass? Express your answer in degrees. b) What would be the angle of incidence ?1 the beam makes with the normal once it meets the second interface? Express your answer in degrees. c) What would be the angle of transmission ?2 the beam makes with the normal once it exits the cylinder? Express your answer in degrees. d)What is the direction, with respect to the original beam direction, does the beam leave the cylinder? Express your answer in degrees.

Explanation / Answer

uisng snell's law

n1 / n2 = sin@2 / sin@i

1 / 1.25 = sin@t / sin49

@t =37.14 degrees

b) because its a isosceles traingle ( all radius are equal in a circle)

@1 = @t = 37.14 degrees

c) again using snells' law

1.25 / 1 = sin@2 / sin37.14

sin@2 = 0.755

@2 =49 degrees

c) angle between = 49 degrees (as we can see from figure)

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