With respect to air critical angle in a medium for light of red c… - Vidyadip

MCQ

With respect to air critical angle in a medium for light of red colour $\left[\lambda_1\right]$ is $\theta$. Other facts remaining same, critical angle for light of yellow colour $\left[\lambda_2\right]$ will be

A
$\theta$
B
More than $\theta$
✓
Less than $\theta$
D
$\frac{\theta \lambda_1}{\lambda_2}$

✓

Answer

Correct option: C.

Less than $\theta$

$ \text { Critical angle }=\sin ^{-1}\left(\frac{1}{\mu}\right) $
$ \therefore \theta=\sin ^{-1}\left(\frac{1}{\mu_{\lambda_1}}\right) \text { and } \theta^{\prime}=\sin ^{-1}\left(\frac{1}{\mu_{\lambda_2}}\right)$
Since $\mu_{\lambda_2}>\mu_{\lambda_1}$, hence $\theta^{\prime}<\theta$

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