Two transparent media A and B are separated by a plane boundary. The speed of light in those media are $1.5

Question

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are $1.5 	imes 10^8$ m/s and $2.0 	imes 10^8$ m/s, respectively. The critical angle for a ray of light for these two media is

Accepted Answer

Refractive index of A, $\mu_A = \frac{3 	imes 10^8}{1.5 	imes 10^8} = 2$. Refractive index of B, $\mu_B = \frac{3 	imes 10^8}{2 	imes 10^8} = 1.5$. For Total Internal Reflection (TIR), ray of light should travel from denser to rarer medium. $\mu_A \sin 	heta_c = \mu_B \sin 90^{\circ}$. $2 \sin 	heta_c = 1.5 	imes 1$. $\sin 	heta_c = 0.75$. $	heta_c = \sin^{-1}(0.75)$.

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