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For a material, the refractive indices for red, violet, and yellow colors are 1.52, 1.64, and 1.60, respectively. What is the dispersive power of the material?

Answer :

Final answer:

The dispersive power of a material is a measure of how much the material separates different colors of light based on their wavelengths. Given the refractive indices for red, violet and yellow as 1.52, 1.64 and 1.60, respectively, the dispersive power can be calculated to be 0.2 using the provided formula.

Explanation:

The dispersive power of a material refers to how much it separates different colors (or wavelengths) of light. This is due to the refractive index of light changing with wavelength in material mediums. The refractive indices for red, violet and yellow given in your question are respectively 1.52, 1.64 and 1.60.

The dispersive power can be calculated using the formula:

ω = (n(violet) - n(red)) / (n(yellow) - 1)

Substituting the given values into the formula, ω = (1.64 - 1.52) / (1.60 - 1) = 0.12 / 0.60 = 0.2

Hence, the dispersive power of the material is 0.2.

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