The refractive index of water with respect to air is 4/3 and refractive index of glass with respect to water is 9/8. Calculate the refractive index of glass with respect to air.
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Explanation:
Refractive index is defined as the ratio of the speed of light in a vacuum to its speed in a specific medium.
Let us consider
Refractive index of air = Ra
Refractive index of glass = Rg
Refractive index of water = Rw
The refractive index of glass with respect to water is given as,
Rgw = Rg/Rw
9/8 = Rg/Rw……………………………..(1)
The refractive index of glass with respect to air is
Rga = Rg/Ra……………………………..(2)
The refractive index of water with respect to air is
Rwa = Rw/Ra……………………………..(3)
Substitute the value of (1), (2) in (3) we get
Rwa = 4/3
The refractive index of water with respect to air is 4/3.
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