Question

The critical angle for a certain medium is ${\sin }^{-1}\left(3/5\right).$ The polarizing angle for that medium is,

• A. ${\sin }^{-1}\left(4/5\right)$
• B. ${\tan }^{-1}\left(5/3\right)$
• C. ${\tan }^{-1}\left(3/4\right)$
• D. ${\tan }^{-1}\left(4/3\right)$

Answer 1

The correct option is B ${\tan }^{-1}\left(5/3\right)$

Critical angle for a medium is given by,
$i_c={\sin }^{-1}\left(\frac{1}{\mu }\right)$

Here, $i_c={\sin }^{-1}\left(\frac{3}{5}\right)$

Hence, $\mu =5/3.$

If $i_p$ is the polarizing angle,
$\tan i_p=\mu$ so that $i_p={\tan }^{-1}\left(\mu \right)$

$\therefore i_p={\tan }^{-1}\left(5/3\right).$

Hence, $\left(B\right)$ is the correct answer.