Question

The shown figure represents a wave front AB which passes air to another transparent medium and produces a new wave from CD after refraction. The refractive index of the medium is (PQ) is the boundary between air and the medium).

• A. $\frac{cos{\theta }_1}{{cos\theta }_4}$
• B. $\frac{cos{\theta }_4}{{cos\theta }_1}$
• C. $\frac{sin{\theta }_1}{{sin\theta }_4}$
• D. $\frac{sin{\theta }_2}{{sin\theta }_3}$

Answer 1

The correct option is C $\frac{sin{\theta }_1}{{sin\theta }_4}$

$\begin{array}{c}\text{By snell's law,}\\ \frac{\sin i}{\sin \gamma }=\frac{{\mu }_2}{{\mu }_1}\end{array}$

For $i=0,\gamma =0_4,\&{\mu }_1=1$

${\mu }_2=\frac{\sin {\theta }_1}{\sin {\theta }_4}$