Question

At a time, the image of sun formed due to reflection at air-water interface, is found to be highly polarized. If refractive index of water is $\mu =\frac{4}{3}$, then the angle of the sun above the horizon is ?

• A. ${37}^o$
• B. ${53}^o$
• C. ${30}^o$
• D. ${60}^o$

Answer 1

The correct option is A ${37}^o$

Given,

$\mu =\frac{4}{3}$

Let angle of incident is ${\theta }_i$

From Bruster's law

$\mu =tan{\theta }_i$

$\mu =tan{\theta }_i{\theta }_i={tan}^{-1}\mu$

${\theta }_i={tan}^{-1}\frac{4}{3}=53.13$

Here, ${\theta }_i$ is angle of sun from normal .

Angle of sun from Horizon is $90-{\theta }_i=90-53.13=36.9\approx {37}^{\circ }$

Correct option is A.