Question

The Brewster's angle for air to water interface is

• A. $\tan^{-1}(1.33)$
• B. $\sin^{-1}(1.33)$
• C. $\cos^{-1}(1.33)$
• D. $\tan^{-1}(1/1.33)$
• E. $\sin^{-1}(1/1.33)$

Hint:

Brewster angle = tan inverse of refractive index.

Answer 1

The Correct Option is A

Concept: Angle from tangent ratio
If $\tan\theta$ is given, the angle can be found using inverse tangent: \[ \theta = \tan^{-1}(\text{value}) \]

Step 1: Substitute the given value
\[ \theta = \tan^{-1}(1.33) \]

Step 2: Evaluate
\[ \theta \approx 53^\circ \] Final Answer:
\[ \boxed{\theta \approx 53^\circ} \] Note:
Use calculator or standard values: $\tan 53^\circ \approx 1.33$.