A ray of light strikes the rectangular piece of crown glass, n = 1.52 with an an

Question

A ray of light strikes the rectangular piece of crown glass, n = 1.52 with an angle of incidence of 40 degree. a. What is the angle of refraction in the crown glass? b. What is the angle of incidence at the boundary between the crown glass and flint glass? c. What is the angle of refraction in the flint glass n = 1.67? d. What is the angle of transmission (angle of refraction) in the air as the light emerges from the flint glass to air? e. Draw the light path on the diagram below showing all rays, angles and normal lines. Make the normal lines dashed.

Explanation / Answer

a )

n1 sini = nr sinr

r = sin-1 ( 1 X sin40 / 1.52 )

r = sin-1 ( 0.4221 )

r = 25.06o

b )

angle of incidence = angle of refraction

r = i = 25.06o

c )

n1 sini' = nr sinr '

r' = sin-1 ( 1 X sin40 / 1.67 )

r' = sin-1 ( 0.384 )

r' = 22.60o

d )

sin i ' / sinr ' = 1.4 / 1.67

r ' = sin-1 ( sin i ' ( 1.4 / 1.67 ) )

r ' = sin-1 ( sin 25.06 X ( 1.4 / 1.67 ) )

r ' = 20.8o

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