Question

The critical angle of a certain medium is $sin^{-1}(\frac{3}{5})$. The polarizing angle of the medium is

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

Answer 1

Answer: (B)

Palarising angle,
$\tan i=\frac{1}{\sin C}$
$\therefore \cot i=\sin \left(\sin ^{-1}\left(\frac{3}{5}\right)\right)$
or $\tan i =\frac{5}{3}$
or $i =\tan ^{-1}\left(\frac{5}{3}\right)$