Answer:
a) pridm sin θ₂ = (sin θ) / n
b) red sin θ= mλ/a
Explanation:
The scattering of light in its spectrum occurs by two different phenomena. In the case of the prism, light is scattered because the index of refraction of the material depends on the wavelength, according to the law of refraction.
n₁ sin θ₁ = n₂ sin θ₂
if the cousin is in the air n1 = 1 and n2 is the refractive index of the prism
sin θ₂ = (sin θ) / n
Since the refractive index depends on the wavelength, light is scattered in its spectrum.
For the diffraction grating, the dispersion adhesiveness to diffraction in multiple slits, and is described by the expression
a sin θ = mλ
sin θ= mλ/a
where m is an integer indicating the order of the spectrum, the separation is due to the change in wavelength.
In black the separation of the network is much greater in the network because a is very small and in the prism the change of the index of refraction is small.