A light ray propagating in vacuum contains both 600nm light and 400 nm light and is incident on top of a glass cube. Compare how the two types of light travel through the block.

Respuesta :

Answer: The wavelength of light of the first wave reduced, same as the wavelength of the second wave but both wave have the same speed.

And the frequency of light during refraction is constant.

Explanation: According to snell's law, the refractive index is related to the wavelength as shown below

n2/n1 = λ1/λ2

Where n2 = refractive index of the second medium = 1.52 for glass

n1 = refractive index of the first medium = 1 for vacuum

λ1 = wavelength of light in first medium

λ2 = wavelength of light in second medium

Considering the first light of wavelength with λ1 = wavelength in air ( first medium) = 600nm

Since the wave is moving from vacuum to glass, n1 = 1( refractive index for vacuum), n2 = 1.52 ( refractive index for glass).

By substituting the parameters

1.52/1 = 600/λ2

600 = λ2 * 1.52

λ2 = 600/1.52

λ2 = 397.73nm

For the second light wave

1.52/1 = 400/λ2

1.52 * λ2 = 400

λ2 = 400/1.52

λ2 = 263.16m

It can be seen that the wavelength of both wave reduced with the first wave having more reduction than the second wave.

They both travel with the same speed ( v= 3 *10^8 m/s).

Frequency is constant all through the process of refraction.