Question

A person find that the Sun rays reflected by the still water in a lake are polarized. If the refractive index of water is $1.327$, then sun will be seen at the angle of ___________ with the horizon.

• A. ${57}^o$
• B. ${75}^o$
• C. ${37}^o$
• D. ${53}^o$

Answer 1

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

Since reflected ray is polarised incident angle must be Brewster's angle ${\theta }_B$.

But, $\tan {\theta }_B=\mu$(Relative Refractive index)

$\Rightarrow \tan {\theta }_B=1.327=\tan {53}^0$

$\Rightarrow {\theta }_B={53}^0$

So,the sun will be the angle with the horizon $=90-{\theta }_B={37}^0$

Therefore, C is correct option.