MHT CET · Physics · Wave Optics

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 \(\left(\frac{\pi}{2}-\theta\right)\).
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 is \(\mu\) the refractive index of glass.

Verified Solution

Answer & Solution

Correct Answer

(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 \(\left(\frac{\pi}{2}-\theta\right)\).

Step-by-step Solution

Detailed explanation

\( \tan(\theta) = \mu \) \( \tan(\theta') = \frac{1}{\mu} \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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