First slide

Total internal reflection - Ray optics and optical instruments

Question

The wavelength of light in two liquids ‘x' and ‘y' is 3500 $Å$ and 7000 $Å$ , then the critical angle of x relative to y will be

Moderate

A

$60^{\circ}$
B

$45^{\circ}$
C

$30^{\circ}$
D

$15^{\circ}$

Solution

The critical angle C is given by
$sinC = \frac{n_{2}}{n_{1}} = \frac{λ_{1}}{λ_{2}} = \frac{3500}{7000} = \frac{1}{2} \Rightarrow C = 30^{\circ}$

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