Physics - Wave Optics Question with Solution | TestHub

According to Brewster's law, the refractive index of a medium is equal to the tangent of the polarising angle:

$\mu =\tan (i_p)$

The refractive index is also defined as the ratio of the speed of light in vacuum to the speed of light in the medium:

$\mu =\frac{C}{V}$

Equating the two expressions for $\mu$:

$\frac{C}{V}=\tan (i_p)$

$\frac{C}{V}=\frac{\sin (i_p)}{\cos (i_p)}$

$V\sin (i_p)=C\cos (i_p)$

Answer: $V\sin \left(i_p\right)=C\cos \left(i_p\right)$