A ray of light travels from air to water to g | vedclass

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(B) The refractive index of medium $2$ with respect to medium $1$ is given by the ratio of the speed of light in medium $1$ to the speed of light in m

Vedclass · Accepted Answer

$X Y Z = 1$

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(B) The refractive index of medium $2$ with respect to medium $1$ is given by the ratio of the speed of light in medium $1$ to the speed of light in medium $2$.Let $v_a$, $v_w$, and $v_g$ be the speeds of light in air, water, and glass, respectively.Given:$X = {}^a\mu_w = \frac{v_a}{v_w}$$Y = {}^w\mu_g = \frac{v_w}{v_g}$$Z = {}^g\mu_a = \frac{v_g}{v_a}$Multiplying these three values:$X 	imes Y 	imes Z = \left(\frac{v_a}{v_w}ight) 	imes \left(\frac{v_w}{v_g}ight) 	imes \left(\frac{v_g}{v_a}ight) = 1$Therefore, $X Y Z = 1$.

$A$ ray of light travels from air to water to glass and again from glass to air. The refractive index of water with respect to air is '$X$', glass with respect to water is '$Y$', and air with respect to glass is '$Z$'. Which one of the following is correct?

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