A light wave travelling linearly in a medium | vedclass

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

Question

(D) For total internal reflection to occur,the angle of incidence $i$ must be greater than the critical angle $	heta_{C}$.The refractive index of a m

Vedclass · Accepted Answer

$60$

Vedclass · Answer

(D) For total internal reflection to occur,the angle of incidence $i$ must be greater than the critical angle $	heta_{C}$.The refractive index of a medium is given by $\mu = \sqrt{\mu_{r} \epsilon_{r}}$.For the given medium: $\mu_{D} = \sqrt{1 	imes 4} = 2$.For air: $\mu_{R} = 1$.The critical angle $	heta_{C}$ is defined as $\sin 	heta_{C} = \frac{\mu_{R}}{\mu_{D}} = \frac{1}{2}$.Therefore,$	heta_{C} = 30^{\circ}$.For total internal reflection,$i > 	heta_{C}$,which means $i > 30^{\circ}$.Among the given options,$60^{\circ}$ is the only value greater than $30^{\circ}$ that satisfies the condition for total internal reflection.

Similar Questions

$A$ light ray is incident perpendicularly to one face of a $90^{\circ}$ prism and is totally internally reflected at the glass-air interface. If the angle of incidence at the interface is $45^{\circ}$,we conclude that the refractive index $n$ is:

With respect to air,the critical angle in a medium for red light of wavelength $\lambda_1$ is $\theta$. Other facts remaining same,the critical angle for yellow light of wavelength $\lambda_2$ will be

What should be the maximum acceptance angle at the air-core interface of an optical fibre if $n_1$ and $n_2$ are the refractive indices of the core and the cladding respectively?

Show that for a material with refractive index $\mu \geqslant \sqrt{2}$,light incident at any angle shall be guided along a length perpendicular to the incident face.

Light travels in two media $M_{1}$ and $M_{2}$ with speeds $1.5 \times 10^{8} \text{ m/s}$ and $2.0 \times 10^{8} \text{ m/s}$ respectively. The critical angle between them is.

Vedclass Test Series

Exam Paper Generator

Online Exam Module