White light falling on a prism as shown in the diagram below refracts the light

Question

White light falling on a prism as shown in the diagram below refracts the light and produces a series of colors known as a visible spectrum. This is due to the fact that the index of refraction, n, which relates the speed of light in air to the speed of light in the prism, is independent on the wavelength of the light in the prism is dependent on the angle of incidence is dependent on the wavelength of the light in the prism with shorter wavelengths refracted the least is dependent on the wavelength of the light in the prism with shorter wavelengths refracted the most

Explanation / Answer

when light enters a different medium, its frequency remains the same but the wavelength changes.

v = f*x where v is wave speed, x is wavelength, n is refractive, f is frequency which is constant

n = k/v = k/(f*x)

n*x = k/f = constant

so n*x remains always constant.

if wavelength is more than refractive index will be less and vice-versa.

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