Question

Select the correct statement.

• A. If the Brewster's angle for the light propagation from air to glass is '$\theta$', then Brewster's angle for the light propagating from glass to air is $(\frac{\pi}{2} - \theta)$.
• B. The Brewster's angle for the light propagating from the glass to air is $\tan^{-1}(\mu)$ where $\mu$ is the refractive index of glass.
• C. The Brewster's angle for light propagating from air to glass is '$\theta$' then Brewster's angle for the light propagating from glass to air is $(\pi + \theta)$.
• D. The Brewster's angle for light propagating from glass to air is $\tan(\mu)$ where $\mu$ is the refractive index of glass.

Hint:

At Brewster's angle, the reflected and refracted rays are perpendicular to each other.

Answer 1

The Correct Option is A

Step 1: Brewster's Law
$\tan \theta_P = \frac{\mu_2}{\mu_1}$
Step 2: Air to Glass
$\tan \theta = \frac{\mu_g}{1} \Rightarrow \mu_g = \tan \theta$
Step 3: Glass to Air
$\tan \theta' = \frac{1}{\mu_g} = \frac{1}{\tan \theta} = \cot \theta = \tan(90^\circ - \theta)$
$\theta' = \frac{\pi}{2} - \theta$
Step 4: Conclusion
Statement (A) is correct.
Final Answer:(A)