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Question
(i) What is the relation between the refractive index of water with respect to air `("_aμ_\text(w))` and the refractive index of air with respect to water `("_\text(w)μ_ a)` .
(ii) If the refractive index of water with respect to air `("_aμ_\text(w))` is`5/3`. Calculate the refractive index of air with respect to water `("_\text(w)μ_ a)` .
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Solution
(i) `"_a μ_\text(w) =(mu_\text(w))/(mu_a)`
` "_\text(w) μ_a = (mu_a)/(mu_\text(w) `
`∴ "_a μ_\text(w) `= `1/ ("_\text(w) mu_a)`
(ii) ` "_a μ_\text(w) = 5/ 3`
` "_\text(w) mu _a = 3/5 `
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