If the critical angle for total internal reflection from a medium… - Vidyadip

MCQ

If the critical angle for total internal reflection from a medium to vacuum is $45^{\circ}$, then velocity of light in the medium is,

A
$3 \times 10^{8} \;m / s$
B
$1.5 \times 10^{8} \;m / s$
✓
$\frac{3}{\sqrt{2}} \times 10^{8}\; m / s$
D
$\sqrt{2} \times 10^{8} \;m / s$

✓

Answer

Correct option: C.

$\frac{3}{\sqrt{2}} \times 10^{8}\; m / s$

c
$\sin C =\frac{1}{\mu}$

$\sin 45^{\circ}=\frac{1}{\mu}$

$\frac{1}{\sqrt{2}}=\frac{1}{\mu}$

$\mu=\sqrt{2}$

Velocity of light in medium

$v =\frac{ c }{\mu}$

$v =\frac{3 \times 10^{8}}{\sqrt{2}} m / s$

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