A ray of light passes through four transparen | vedclass

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

Question

(D) According to Snell's law for multiple parallel interfaces,the product of the refractive index and the sine of the angle of incidence at each inter

Vedclass · Accepted Answer

$\mu_4 = \mu_1$

Vedclass · Answer

(D) According to Snell's law for multiple parallel interfaces,the product of the refractive index and the sine of the angle of incidence at each interface remains constant.Let $	heta_1$ be the angle of incidence in the first medium and $	heta_4$ be the angle of refraction in the fourth medium.Applying Snell's law at each interface:$\mu_1 \sin 	heta_1 = \mu_2 \sin 	heta_2 = \mu_3 \sin 	heta_3 = \mu_4 \sin 	heta_4$.Since the emergent ray $CD$ is parallel to the incident ray $AB$,the angle of incidence $	heta_1$ must be equal to the angle of emergence $	heta_4$ (i.e.,$	heta_1 = 	heta_4$).Substituting this into the equation,we get $\mu_1 \sin 	heta_1 = \mu_4 \sin 	heta_1$.Therefore,$\mu_1 = \mu_4$.

$A$ ray of light passes through four transparent media with refractive indices $\mu_1, \mu_2, \mu_3$ and $\mu_4$ as shown in the figure. The surfaces of all media are parallel. If the emergent ray $CD$ is parallel to the incident ray $AB$,we must have

Similar Questions

Is the statement "Angle made by the incident ray with the reflecting surface is the angle of incidence" correct?

$(a)$ The refractive index of glass is $1.5$. What is the speed of light in glass? (Speed of light in vacuum is $3.0 \times 10^{8} \; m/s$).
$(b)$ Is the speed of light in glass independent of the colour of light? If not,which of the two colours,red or violet,travels slower in a glass prism?

The wavelength of sodium light in air is $5890 \ \mathring{A}$. The velocity of light in air is $3 \times 10^8 \ m/s$. The wavelength of light in a glass of refractive index $1.6$ would be close to......$\mathring{A}$

$A$ magician during a show makes a glass lens with $n = 1.47$ disappear in a trough of liquid. What is the refractive index of the liquid? Could the liquid be water?

Vedclass Test Series

Exam Paper Generator

Online Exam Module