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  4. In the figure shown plane waves are refracted from air to water using Huygen's principle a, b, c, d, e are lengths on the diagram. The refractive index of air with respect to water is in the ratio. <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-atgt32j8p3jr.png />

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Q. In the figure shown plane waves are refracted from air to water using Huygen's principle $a, \, b, \, c, \, d, \, e$ are lengths on the diagram. The refractive index of air with respect to water is in the ratio.

Question

NTA AbhyasNTA Abhyas 2020Wave Optics

Solution:

Solution

$\frac{\text{sin } \textit{i}}{\text{sin } \textit{r}}=\frac{\frac{\textit{b}}{\textit{c}}}{\frac{\textit{d}}{\textit{c}}}=\frac{\textit{b}}{\textit{d}}$
$\mu _{\text{a,w}}=\frac{\text{sin} \textit{ r}}{\text{sin} \textit{ i}}$