A Slab of Glass Give a symbolic expression for the sideways displacement d, of a

Question

A Slab of Glass Give a symbolic expression for the sideways displacement d, of a light ray passing through the slab of glass t, shown in the figure. The thickness of the glass is , its index of refraction is , and the angle of incidence is theta. Express your answer in terms of the variables t,n ,and theta.

A Slab of Glass Give a symbolic expression for the sideways displacement d, of a light ray passing through the slab of glass t, shown in the figure. The thickness of the glass is , its index of refraction is , and the angle of incidence is theta. Express your answer in terms of the variables t,n ,and theta.

Explanation / Answer

n = sin(theta)/sin(r) where r is the angle of 1st refraction. r = arcsin(sin(theta)/n) tan(r) = t/d d = t/tan(r) = t/tan(arcsin(sin(theta)/n))

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