When a light ray is incident on a medium at a | vedclass

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

Question

(C) According to Snell's Law,$\mu_1 \sin i = \mu_2 \sin r$,which implies $\frac{\sin r}{\sin i} = \frac{\mu_1}{\mu_2}$.From the given graph,the slope

Vedclass · Accepted Answer

$B, C$

Vedclass · Answer

(C) According to Snell's Law,$\mu_1 \sin i = \mu_2 \sin r$,which implies $\frac{\sin r}{\sin i} = \frac{\mu_1}{\mu_2}$.From the given graph,the slope is $	an 30^{\circ} = \frac{\sin r}{\sin i} = \frac{1}{\sqrt{3}}$.Therefore,$\frac{\mu_1}{\mu_2} = \frac{1}{\sqrt{3}}$,which means $\mu_2 = \sqrt{3} \mu_1$.Since the refractive index $\mu = \frac{c}{v}$,we have $\frac{\mu_1}{\mu_2} = \frac{v_2}{v_1} = \frac{1}{\sqrt{3}}$.This implies $v_1 = \sqrt{3} v_2 \approx 1.73 v_2$. Thus,statement $(B)$ is correct.The critical angle $i_c$ is defined by $\sin i_c = \frac{\mu_R}{\mu_D} = \frac{\mu_1}{\mu_2}$.Substituting the values,$\sin i_c = \frac{1}{\sqrt{3}}$. Thus,statement $(C)$ is correct.Therefore,the correct options are $(B)$ and $(C)$.

Similar Questions

$A$ ray of light is incident on a transparent sphere at an angle of $\pi / 4$ and is refracted at an angle $r$. The ray emerges from the sphere after suffering one internal reflection. The total angle of deviation of the ray is

$A$ wave has velocity $u$ in medium $P$ and velocity $2u$ in medium $Q.$ If the wave is incident in medium $P$ at an angle of $30^\circ,$ then the angle of refraction will be .... $^o$

If $_i{\mu _j}$ represents the refractive index when a light ray goes from medium $i$ to medium $j,$ then the product $_2{\mu _1} \times {\,_3}{\mu _2} \times {\,_4}{\mu _3}$ is equal to

$A$ transparent solid cylindrical rod has a refractive index of $\frac{2}{\sqrt{3}}$. It is surrounded by air. $A$ light ray is incident at the mid-point of one end of the rod as shown in the figure. The incident angle $\theta$ for which the light ray grazes along the wall of the rod is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module