Answer:
Angle of refraction for red light is [tex]43.01^{\circ}[/tex]
Angle of refraction for blue light is [tex]42.68^{\circ}[/tex]
Explanation:
It is given refractive index for red light is [tex]\mu _{red}=1.331[/tex]
Refractive index of blue light [tex]\mu _{blue}=1.340[/tex]
Angle of incidence [tex]i=65.30^{\circ}[/tex]
According to law of refraction [tex]\mu =\frac{sini}{sinr}[/tex]
For red light [tex]1.331 =\frac{sin65.30^{\circ}}{sinr}[/tex]
[tex]1.331 =\frac{0.908}{sinr}[/tex]
[tex]sinr=0.682[/tex]
[tex]r=43.01^{\circ}[/tex]
Therefore angle of refraction for red light is [tex]43.01^{\circ}[/tex]
Similarly for blue light [tex]1.340 =\frac{sin65.30^{\circ}}{sinr}[/tex]
[tex]1.340 =\frac{0.908}{sinr}[/tex]
[tex]sinr=0.677[/tex]
r = [tex]42.68^{\circ}[/tex]
Therefore angle of refraction for blue light is [tex]42.68^{\circ}[/tex]
