Refractive index of glass with respect to water is 5/4 and the refractiveindex of water with respect to air is 4/3, what is the refractive index ofglass with respect to air?
Question
Refractive index of glass with respect to water is 5/4 and the refractiveindex of water with respect to air is 4/3, what is the refractive index ofglass with respect to air?
Solution
The refractive index of one medium with respect to another is given by the ratio of the speed of light in the two media.
Given: Refractive index of glass with respect to water (n_gw) = 5/4 Refractive index of water with respect to air (n_wa) = 4/3
We need to find the refractive index of glass with respect to air (n_ga).
The refractive index of one medium with respect to another is the product of the refractive indices of the two media involved.
So, n_ga = n_gw * n_wa
Substituting the given values:
n_ga = (5/4) * (4/3) = 5/3
So, the refractive index of glass with respect to air is 5/3.
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