Question

The critical angle of a medium is ${\text{sin}}^{-1}\left(\frac{3}{5}\right)$. The polarizing angle of the medium will be

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

Answer 1

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

We know that $\text{sin C}=\frac{1}{\mu }$
Given $\text{sin C}=\frac{3}{5}$
Hence, $\mu =\frac{5}{3}$

For polarizing angle
${\text{tan i}}_{\text{p}}=\mu =\frac{5}{3}$
or, ${\text{i}}_{\text{p}}={\text{tan}}^{-1}\left(\frac{5}{3}\right)$