Answer :
Final answer:
The dispersive power of a material refers to its capacity to separate light into its component colors. It is determined by the different refractive indices that the material has for different wavelengths (or colors) of light. In this case, the dispersive power is calculated to be 0.075.
Explanation:
The dispersive power of a material relates to its ability to separate light into its different component wavelengths or colors, as demonstrated by a prism. This is largely due to the fact that the refractive index of a material varies with the wavelength of light. Specifically, the speed of each color of light in a medium depends on the refractive index of that medium for that color.
The dispersive power (ω) is calculated using the formula:
ω = (μv - μr) / μy
where μv, μr, and μy are the refractive indices of violet, red, and yellow light, respectively. In this case, the refractive indices are given as 1.64 (violet), 1.52 (red), and 1.60 (yellow). Plugging these into the formula gives us:
ω = (1.64 - 1.52) / 1.60 = 0.075
So, the dispersive power of the material is 0.075.
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