The speed of light in media M_1 and M_2 are 1 | vedclass

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

Question

(C) The refractive index of medium $M_1$ is given by $\mu_1 = c/v_1 = (3 	imes 10^8) / (1.5 	imes 10^8) = 2$.The refractive index of medium $M_2$ is

Vedclass · Accepted Answer

$> \sin^{-1}(3/4)$

Vedclass · Answer

(C) The refractive index of medium $M_1$ is given by $\mu_1 = c/v_1 = (3 	imes 10^8) / (1.5 	imes 10^8) = 2$.The refractive index of medium $M_2$ is given by $\mu_2 = c/v_2 = (3 	imes 10^8) / (2.0 	imes 10^8) = 1.5 = 3/2$.For total internal reflection to occur,the light must travel from a denser medium to a rarer medium,and the angle of incidence $i$ must be greater than or equal to the critical angle $C$.The critical angle $C$ is defined by $\sin C = \mu_2 / \mu_1$.Substituting the values,$\sin C = (3/2) / 2 = 3/4$.Therefore,for total internal reflection,$i \geq C$,which implies $\sin i \geq \sin C$.Thus,$i \geq \sin^{-1}(3/4)$.

The speed of light in media $M_1$ and $M_2$ are $1.5 \times 10^8 \ m/s$ and $2.0 \times 10^8 \ m/s$ respectively. $A$ ray of light enters from medium $M_1$ to $M_2$ at an incidence angle $i$. If the ray suffers total internal reflection,the value of $i$ is

Similar Questions

When a rectangular metal tank is filled to the top with an unknown liquid,an observer with eyes level with the top of the tank can just see the corner $E$. $A$ light ray that refracts towards the observer at the top surface of the liquid is shown. The refractive index of the liquid is:

In an optical fibre, is the refractive index of the core greater than that of the cladding, or smaller?

Assertion: Critical angle is minimum for violet colour.
Reason: Because critical angle $\theta_c = \sin^{-1} \left( \frac{1}{\mu} \right)$ and $\mu \propto \frac{1}{\lambda}$.

Explain internal reflection and total internal reflection.

Assertion: Diamond glitters brilliantly.
Reason: Diamond does not absorb sunlight.

Vedclass Test Series

Exam Paper Generator

Online Exam Module