Question

a beam of unpolarized light in air is incident on an unknown material. brewsters angle for this material is found to be 53.1 degrees. what is the index of refraction of the unknown material? 1.48 1.68 1.33 1.26

Explanation:

Step1: Recall Brewster's law formula

Brewster's law is given by \( n = \tan\theta_B\), where \(n\) is the refractive index of the material and \(\theta_B\) is the Brewster's angle.

Step2: Substitute the given Brewster's angle

Given \(\theta_B = 53.1^{\circ}\), then \(n=\tan(53.1^{\circ})\).
Using a calculator, \(\tan(53.1^{\circ})\approx1.33\)

Answer:

1.33