The wavelength of light in a substance is lpl = 0.337 μm, and its frequency is n = 6.0 1014 Hz

The wavelength of light in a substance is lpl = 0.337 μm, and its frequency is n = 6.0 1014 Hz What is the refractive index of this substance?

λ = 0.337 μm = 3.37 * 10 ^ -7 m;

Let’s find the speed of light in matter by the formula:

c (in substance) = λ * ν = (3.37 * 10 ^ -7) * (6 * 10 ^ 14) = 2.022 * 10 ^ 8 m / s;

By definition, the refractive index is the ratio of the speed of light in vacuum to the speed of light in matter:

n = c (in vacuum) / s (in matter) = (3 * 10 ^ 8) / (2.022 * 10 ^ 8) = 1.483.

Answer: n = 1.483.