What is the lateral shift of a ray refracted through a...

What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness '

h

' in terms of the angle of incidence '

i

' and angle of refraction '

r

', if the glass slab is placed in air medium? $What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' h ' in terms of the$

Options

A $\frac{h \tan (i-r)}{\tan r}$
B $\frac{h \sin (i-r)}{\cos r}$
Ch
D $\frac{h \cos (i-r)}{\sin r}$

Correct answer

B. $\frac{h \sin (i-r)}{\cos r}$

Step-by-step solution

$What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' h ' in terms of the$

\begin{aligned} & A B=h \sec r \\ & B C=h \sec r \sin (\bar{i}-r) \\ & B C=\frac{h \sin (i-r)}{\cos r}\end{aligned}

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