A beam of light consists of red,green,and blu | vedclass

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(D) The light enters the prism normally at face $AB$,so it travels undeviated until it hits the face $AC$. The angle of incidence at face $AC$ is $i =

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Only red color

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(D) The light enters the prism normally at face $AB$,so it travels undeviated until it hits the face $AC$. The angle of incidence at face $AC$ is $i = 45^{\circ}$.For total internal reflection $(TIR)$ to occur,the angle of incidence must be greater than the critical angle $(i > 	heta_c)$,where $\sin 	heta_c = \frac{1}{\mu}$.This is equivalent to $\sin i > \sin 	heta_c$,or $\sin 45^{\circ} > \frac{1}{\mu}$,which simplifies to $\mu > \frac{1}{\sin 45^{\circ}} = \sqrt{2} \approx 1.414$.- For red light: $\mu_r = 1.39$. Since $1.39 - For green light: $\mu_g = 1.44$. Since $1.44 > 1.414$,the green light will undergo total internal reflection.- For blue light: $\mu_b = 1.47$. Since $1.47 > 1.414$,the blue light will undergo total internal reflection.Therefore,only the red light emerges from the $AC$ surface.

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