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

(A) According to Snell's law for a series of parallel interfaces,the product of the refractive index and the sine of the angle of incidence at each in

Vedclass · Accepted Answer

$n_{1} = n_{4}$

Vedclass · Answer

(A) According to Snell's law for a series of 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 emergence in the fourth medium.Applying Snell's law at each interface:$n_{1} \sin 	heta_{1} = n_{2} \sin 	heta_{2} = n_{3} \sin 	heta_{3} = n_{4} \sin 	heta_{4}$Given that the emergent ray $DE$ 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}$).Therefore,$n_{1} \sin 	heta_{1} = n_{4} \sin 	heta_{1}$.Since $\sin 	heta_{1} 
eq 0$,we get $n_{1} = n_{4}$.

$A$ ray of light passes through four transparent media with refractive indices $n_{1}$,$n_{2}$,$n_{3}$,and $n_{4}$ as shown. The surfaces of all media are parallel. If the emergent ray $DE$ is parallel to the incident ray $AB$,then

Similar Questions

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

The ratio of the refractive index of red light to blue light in air is

Find the refractive index of glass from the given figure,where the refractive index of water is $\mu_w = 4/3$.

$A$ 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?

Light enters from air into a given medium at an angle of $45^{\circ}$ with the interface of the air-medium surface. After refraction,the light ray is deviated through an angle of $15^{\circ}$ from its original direction. The refractive index of the medium is

Vedclass Test Series

Exam Paper Generator

Online Exam Module