Question

A ray of light is incident on a medium with angle of incidence and reflected into a 2nd medium with angle of refraction r. the graph of sin I vs sin r is shown below the ratio of speed of light in medium 1 to medium 2 is

Answer 1

Answer:

According to Snell's Law,

Refractive Index is given by Sin I / Sin R

According to this Graph, Slope = y-axis / x-axis

Here Sin I is the y-axis and Sin R is x-axis.

⇒ Slope = Sin i / Sin R

Also Slope is equal to the Tan of angle made by the line.

⇒ Slope = Tan 60 = √3

Hence Sin I / Sin R = √3

Hence Option (2) is correct.

Thanks !!

Answer 2

Answer:

The ratio of speed of light of medium 1 to medium 2 is √3 .

Explanation:

According to the Snell's law,we can write

       $\mu_{1} Sin (i) =\mu_2Sin(r)$

   →   $\frac{Sin(i)}{Sin(r)} = \frac{\mu_2}{\mu_1}$    ..........................................................(i)

Again,from graph Sin(i) vs Sin(r) ,we can write

                $\frac{Sin(i)}{Sin(r)} = \tan60^o$  $=\sqrt{3}$ ..................................(ii)

Now from equation (i) and (ii),we obtain

                                     $\frac{\mu_2}{\mu_1} = \sqrt{3}$

                                 → $\frac{v_1}{v_2} = \sqrt{3}$      [Ans]

                             

[Note: Refractive index is the ratio of the velocity of light in a vacuum to its velocity in a specified medium.