A ray of monochromatic light is incident on t | vedclass

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(B) From Snell's law, we have $\mu_X \sin i = \mu_Y \sin r$. Since $\mu = \frac{c}{V}$, we can write $\frac{c}{V_X} \sin i = \frac{c}{V_Y} \sin r$, wh

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$V_X = \sqrt{3} V_Y$

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(B) From Snell's law, we have $\mu_X \sin i = \mu_Y \sin r$. Since $\mu = \frac{c}{V}$, we can write $\frac{c}{V_X} \sin i = \frac{c}{V_Y} \sin r$, which simplifies to $\frac{\sin i}{\sin r} = \frac{V_X}{V_Y}$. From the given graph, the slope of the line is $	an 30^{\circ} = \frac{\sin r}{\sin i} = \frac{1}{\sqrt{3}}$. Therefore, $\frac{\sin i}{\sin r} = \sqrt{3}$. Substituting this into the velocity ratio, we get $\frac{V_X}{V_Y} = \sqrt{3}$, which implies $V_X = \sqrt{3} V_Y$. Since the light travels from a rarer medium $(X)$ to a denser medium $(Y)$ (as $r < i$), total internal reflection cannot occur when light is incident from medium $X$ to $Y$. Frequency remains constant during refraction.

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