Question

A beam of light with a wavelength 760 nm in air travels in water. The index of refraction of water is 1.33. What is the wavelength in water?

Answer 1

Answer:

The wavelength of water = 571.43 nm

Explanation:

Refractive index of water = wave length of light in air/wave length of light in water

R.d = λ₁/λ₂.................. Equation 1

making λ₂ the subject of equation 1

λ₂ = λ₁/R.d...................... Equation 2

R.d = refractive index of water , λ₁ = wave length of light in air, λ₂ = wave length of light in water

Given: R.d = 1.33, λ₁ = 760nm

Substituting these values into equation 2

λ₂  = 760/1.33

λ₂  = 571.43 nm

Therefore the wavelength of water = 571.43 nm