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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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 =

Vedclass · Accepted Answer

Only red color

Vedclass · Answer

(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.

Similar Questions

The wavelengths of light in two liquids $x$ and $y$ are $3500 \, \mathring{A}$ and $7000 \, \mathring{A}$ respectively. The critical angle of $x$ with respect to $y$ is .......... $^o$.

$A$ point source of light is placed $4 \, cm$ below the surface of water with a refractive index of $\mu = 5/3$. What is the minimum diameter of a disc that should be placed over the source to stop all light from coming out of the water? (in $m$)

Brilliance of diamond is due to

Assertion: Optical fibres are used for telecommunication.
Reason: Optical fibres are based on the phenomenon of total internal reflection.

Vedclass Test Series

Exam Paper Generator

Online Exam Module