Question
Total internal reflection can take place only if :
✓
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.$)$
$i < C ($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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