First slide

Ray optics

Question

Considering near normal incidence of ray, the equivalent refractive index of combination of two slabs shown in figure is

Moderate

A

1.8
B

1.43
C

1.92
D

1.67

Solution

The equivalent refractive index of combination of slabs for near normal incidence is
$μ_{e} = \frac{\sum t_{i}}{\sum \frac{t_{i}}{μ_{i}}} = \frac{t_{1} + t_{2}}{(\frac{t_{1}}{μ_{1}} + \frac{t_{2}}{μ_{2}})} = \frac{10 + 15}{\frac{10}{4 / 3} + \frac{15}{3 / 2}} = 1 .43$

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