The refractive index of water with respect to air is 4334 . What is the refractive index of air with respect to water?
Question
The refractive index of water with respect to air is 4334 . What is the refractive index of air with respect to water?
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. If the refractive index of water with respect to air is 4/3 (or 1.33), this means that light travels 1.33 times faster in air than in water.
The refractive index of air with respect to water is the reciprocal of the refractive index of water with respect to air.
So, to find the refractive index of air with respect to water, we take the reciprocal of 4/3 (or 1.33).
1 / (4/3) = 3/4 (or 0.75)
So, the refractive index of air with respect to water is 3/4 (or 0.75).
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