Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Wave Optics

Question:

Brewster's angle for light entering from air to water medium is($\mu^w_a = 1.33$):

Options:

$sin^{-1}(1.33)$

$sin^{-1}(\frac{1}{1.33})$

$tan^{-1}(1.33)$

$tan^{-1}(\frac{1}{1.33})$

Correct Answer:

$tan^{-1}(1.33)$

Explanation:

$ \text{For Brewster angle of incidence } i_p+r = 90^o$

$ r = 90^o - i_p $

$ \text{From snell's law } \frac{sin i_p}{sinr} = \frac{\mu_w}{\mu_a} = 1.33$

$\Rightarrow \frac{sin i_p}{sin(90^o - i_p)} = 1.33$

$ \Rightarrow tan i_p = 1.33$

$i_p = tan^{-1}(1.33)$