Question

The Brewsters angle $i_b$ for an interface should be:

• A. \(0< i b < 30\)
• B. \(30< i_b < 45\)
• C. \(45< i_b < 90\)
• D. \(i_b = 90\)

Answer 1

The Correct Option is C

Brewster's angle is the angle at which light with a specific polarization passes through a dielectric surface without any reflection. When unpolarized light hits the surface at this angle, the reflected light is completely polarized.

Calculation:

At the interface, Brewster's angle \(i_b\)​ is given by: \(μ=tan⁡i_b  \ (1)\)

Here, \(\mu\) is the refractive index of the material, which ranges from 1 to ∞: \(1 < \mu < \infty\)

Substituting equation (1) into this range, we get: \(1 < \tan i_b < \infty\)

Therefore, the polarization angle \( i_b\) falls within: \(\tan^{-1}(1) < i_b < \tan^{-1}(\infty)\)
\(\Rightarrow 45^\circ < i_b < 90^\circ\)