Wavelength of light in water is 540 nm. Refractive index of water is 4/3. Find wavelength in medium of refractive index 3/2.

Solution:

We know that:

λ_medium = λ_water × (n_water / n_medium)

Given:

• Wavelength in water = 540 nm
• Refractive index of water = 4/3
• Refractive index of second medium = 3/2

λ = 540 × (4/3) × (2/3)

λ = 540 × 8/9

λ = 480 nm

Answer: 480 nm