An aquarium filled with water (n = 1.33) has flat glass sides whose index of ref

Question

An aquarium filled with water (n = 1.33) has flat glass sides whose index of refraction is 1.58. A beam of light from outside the aquarium strikes the glass at a 43.5 degree angle to the perpendicular (Figure 1). What is the angle of this light ray when it enters the glass? Express your answer using three significant figures. theta _2 = What is the angle of this light ray when it enters the water? Express your answer using three significant figures. theta _3 = What would be the refracted angle if the ray entered the water directly? Express your answer using three significant figures. theta _4 =

Explanation / Answer

from snells's law

n1sintheta1 = n2sintheta2

theta2 = sin^-1(sin43.5/1.58) = 25.82 degrees

n2sintheta2 = n3sintheta3

theta3 = sin^-1(1.58*sin25.82/1.33) = 31.2 degrees

n1sintheta1 = n3sintheta4

theta4 = sin^-1(sin43.5/1.33) = 31.17 degrees

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