Given:
The angle of incidence is
[tex]\angle i\text{ = 21.98}^{\circ}[/tex]The light travels from the air to polystyrene.
The refractive index of air is n1 = 1
The refractive index of polystyrene is n2 = 1.6
Required: Angle of refracted ray.
Explanation:
According to Snell's law,
[tex]\begin{gathered} n1sin\text{ i =n2sin r} \\ sin\text{ r=}\frac{n1sin\text{ i}}{n2} \end{gathered}[/tex]On substituting the values, the angle of refraction will be
[tex]\begin{gathered} sin\text{ r =}\frac{1\times sin\text{ 21.98}^{\circ}}{1.6} \\ r=sin^{-1}(\frac{1s\imaginaryI n(\text{21.98})^{\operatorname{\circ}}}{1.6}) \\ =13.53^{\circ} \end{gathered}[/tex]The angle of refraction is 13.53 degrees.
Final Answer: The angle of refraction is 13.53 degrees.
