Total internal reflection can take place only if: 1. Light goes f… - Vidyadip

Question

Total internal reflection can take place only if:

Light goes from optically rarer medium $($smaller refractive index$)$ to optically denser medium.
Light goes from optically denser medium to rarer medium.
The refractive indices of the two media are close to each other.
The refractive indices of the two media are widely different.

✓

Answer

$\text{T.I.R}. ($Total Internal reflection$)i < C ($condition for $\text{T.I.R})$
By Snell's Law
$\text{n}_1\sin\text{i}=\text{n}_2\sin90^{\circ}$
$\sin\text{i}=\frac{\text{n}_2}{\text{n}_1}=\sin\text{C}$
$\text{þ} \ \text{C}=\sin^{-1}$
$\because \ -1\leq\sin\text{i}\leq1$
$n_1 > n_2 ($so we can conclude that light goes from optically denser medium to rarer medium incident angle is greater than the critical angle.$)$

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