MCQ
Given below are two statements :

Statement $I:$ If the Brewster's angle for the light propagating from air to glass is $\theta_{ B }$, then Brewster's angle for the light propagating from glass to air is $\frac{\pi}{2}-\theta_B$.

Statement $II:$ The Brewster's angle for the light propagating from glass to air is $\tan ^{-1}\left(\mu_{ g }\right)$ where $\mu_{ g }$ is the refractive index of glass.

In the light of the above statements, choose the correct answer from the options given below :

  • A
    Both Statements $I$ and Statement $II$ are true. 
  • Statement $I$ is true but Statement $II$ is false.
  • C
    Both Statement $I$ and Statement $II$ are false.
  • D
    Statement $I$ is false but Statement $II$ is true.

Answer

Correct option: B.
Statement $I$ is true but Statement $II$ is false.
b
$\mu_{ a } \sin i_1=\mu_{ g } \sin \left(90- i _1\right)$

$\tan i _1=\frac{\mu_{ g }}{\mu_{ a }}$

When going from glass to air

$\tan i_2=\frac{\mu_{ a }}{\mu_{ g }}=\cot i_1$

Hence

$i_2=\frac{\pi}{2}-i_1$

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