Answer:
The refracted wavelength = 450 nm.
Explanation:
When a ray of light goes from 1 medium to another medium with different refractive index, the frequency will be constant but the wavelength will change:
[tex]\boxed{n_1\cdot \lambda_1=n_2\cdot \lambda_2}[/tex]
where:
- n₁ = refractive index of the 1st medium
- λ₁ = wavelength of ray before refraction
- n₂ = refractive index of the 2nd medium
- λ₂ = wavelength of ray after refraction
Given:
- n₁ = 600 nm
- λ₁ = 1 (we normally take n = 1 for air)
- n₂ = 4/3
[tex]n_1\cdot \lambda_1=n_2\cdot \lambda_2[/tex]
[tex]1(600)=\frac{4}{3} \lambda_2[/tex]
[tex]\lambda_2=600\times\frac{3}{4}[/tex]
[tex]=450\ nm[/tex]
