Question

Statement I: For a given medium polarizing angle is $60^{\circ}$. The critical angle for this medium is $35^{\circ}$
Statement II: $\mu=\tan i_{p}$.

• A. If both statements are true and statement II is the correct explanation of statement I.
• B. If both statements are true but statement II is not the correct explanation of statement I.
• C. If statement I is true but statement II is false.
• D. If both statements are false.

Answer 1

Answer: (B)

From the relation,
$\mu=\tan i_{p}=\tan 60^{\circ}=\sqrt{3}$
and also $\mu=\frac{1}{\sin C}$
$\sin C=\frac{1}{\mu}=\frac{1}{\sqrt{3}}$
$\therefore C=\sin ^{-1}\left(\frac{1}{\sqrt{3}}\right)=\sin ^{-1}(0.577)$
$\therefore =35.23^{\circ} \cong 35^{\circ}$