When light is incident on a medium at an angl | vedclass

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

Question

(B) From Snell's law,$\frac{\sin i}{\sin r} = \frac{\mu_2}{\mu_1} = \frac{v_1}{v_2} = {}_1\mu_2$.From the given graph,the slope is $\frac{\sin r}{\sin

Vedclass · Accepted Answer

$b, c$

Vedclass · Answer

(B) From Snell's law,$\frac{\sin i}{\sin r} = \frac{\mu_2}{\mu_1} = \frac{v_1}{v_2} = {}_1\mu_2$.From the given graph,the slope is $\frac{\sin r}{\sin i} = 	an 30^\circ = \frac{1}{\sqrt{3}}$.Therefore,$\frac{\sin i}{\sin r} = \sqrt{3}$.This implies $\frac{v_1}{v_2} = \sqrt{3}$,so $v_1 = \sqrt{3} v_2 \approx 1.73 v_2$. Thus,statement $(b)$ is correct.The relative refractive index of the first medium with respect to the second is ${}_2\mu_1 = \frac{\sin r}{\sin i} = \frac{1}{\sqrt{3}}$.The critical angle $i_c$ is given by $\sin i_c = \frac{\mu_2}{\mu_1}$ is incorrect; it should be $\sin i_c = \frac{	ext{rarer medium refractive index}}{	ext{denser medium refractive index}}$.Since $\frac{\sin i}{\sin r} = \sqrt{3} > 1$,the first medium is denser than the second. Thus,$\sin i_c = \frac{\mu_2}{\mu_1} = \frac{1}{\sqrt{3}}$. Thus,statement $(c)$ is correct.Therefore,the correct options are $(b)$ and $(c)$.

When light is incident on a medium at an angle $i$ and refracted into a second medium at an angle $r$,the graph of $\sin i$ vs $\sin r$ is as shown. From this,one can conclude that:

Similar Questions

Light takes $8$ min $20$ sec to reach the Earth from the Sun. If the whole atmosphere were filled with water,how much time would the light take to reach the Earth? (Given refractive index of water,$_a\mu_w = 4/3$)

Which of the following statements is correct?

The wavelength of light in air and some other medium are respectively ${\lambda_a}$ and ${\lambda_m}$. The refractive index of the medium is:

An object is immersed in a fluid. In order that the object becomes invisible,it should

If $\varepsilon_{0}$ and $\mu_{0}$ are the permittivity and permeability of free space and $\varepsilon$ and $\mu$ are the corresponding quantities for a medium,then the refractive index of the medium is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module