When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is ____. ( tan⁻¹(1.52) = 57.7°, refractive indices of air and glass are 1.00 and 1.52, respectively. )

When an unpolarized light falls at a particular angle on a glass plate, the reflected beam is linearly polarized. The angle of refracted beam is

Q. When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is ____.

$(\tan^{-1}(1.52)=57.7^\circ,\ n_{air}=1.00,\ n_{glass}=1.52)$

A. $36.3^\circ$

B. $39.6^\circ$

C. $42.6^\circ$

D. $32.3^\circ$

Correct Answer: 32.3°

Explanation

When the reflected light is completely polarized, the angle of incidence equals the Brewster angle.

According to Brewster’s law:

$$ \tan i_B = \frac{n_{glass}}{n_{air}} $$

$$ \tan i_B = 1.52 $$

$$ i_B = \tan^{-1}(1.52) = 57.7^\circ $$

At Brewster angle, the reflected and refracted rays are perpendicular to each other:

$$ i_B + r = 90^\circ $$

$$ r = 90^\circ - 57.7^\circ $$

$$ r = 32.3^\circ $$

Final Answer: $$ \boxed{32.3^\circ} $$

Explanation

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