A ray of monochromatic light is incident on the plane surface of separation between two media X and Y with angle of incidence 'i' in medium X and angle of refraction ' r ' in mediu

Question

A ray of monochromatic light is incident on the plane surface of separation between two media $X$ and $Y$ with angle of incidence 'i' in medium $X$ and angle of refraction ' $r$ ' in medium $Y$ . The given graph shows the relation between sin $i$ and $sin r$ . If $V_{x}$ and $V_{Y}$ are the velocities of the ray in media $X$ and $Y$ respectively, then which of the following is true?

TestHub · Accepted Answer

Hint : ​ μ 1 ​ sin i = μ 2 ​ sin r V X ​ C ​ sin i = V Y ​ C ​ sin r sin r sin i ​ = V Y ​ V X ​ ​ = 3 ​ V Y ​ = 3 ​ V X ​ ​ V X ​ = 3 ​ V Y ​ ​ y = m x sin r = ( tan 3 0 ∘ ) sin i s i n r s i n i ​ = t a n 3 0 ∘ 1 ​ = 1 3 ​ ​

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