In the ray diagram shown here, calculate the speed of light in the liquid of unknown refractive index. .
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As shown in Fig. ray `OA` is suffering total internal reflection at `A`, and going along `AB`. `:. angle OAN = C`, the critical angle. `mu = (1)/(sin C) = (1)/(CA//OA) = (OA)/(CA) = (sqrt(30^(2) + 40^(2)))/(30) = (50)/(30) = (5)/(3)` As `mu = ( c)/(v)`, therefore, `v = (c )/(v)` `v = (3 xx 10^(8))/(5//3) = (9)/(8) xx 10^(8)m//s = 1.8 xx 10^(8) m//s`
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