Answer: By Snell's law, we can see that the angle of refraction is 30.34°
Explanation:
Snell's law says that:
If a ray in a medium of refractive index n₁, insides with an angle θ₁ in another medium with refractive index n₂, then the angle of refraction θ₂ is given by:
n₁*sin(θ₁) = n₂*sin(θ₂)
We know that:
The incidence angle is 45°, then: θ₁ = 45°
We can assume that the first medium is air, then n₁ = 1
The refractive index of the other medium is 1.4, then n₂ = 1.4
Replacing these in the Snell's law equation we get:
1*sin(45°) = 1.4*sin(θ₂)
Now we can solve this for the angle of refraction:
sin(45°)/1.4 = sin(θ₂)
Asin(sin(45°)/1.4 ) = Asin( sin(θ₂)) = θ₂ = 30.34°
So the angle of refraction is 30.34°
