A ray of light is incident on a medium with angle of incidence I and refracted into a second medium with angle of refraction r. The graph of `sin(i) vs sin(R)` is as shown in figure. Then the velocity of light in the first medium in n times the velocity of light in the second medium. What shoul be th evalue of n?

Options

A. `sqrt(3)`
B. `1//sqrt(3)`
C. `sqrt(3)//2`
D. `2//sqrt(3)`

Answer

a.

Explanation

Form Snell's law,
`mu_(1)sini=mu_(2)sinrrArr (mu_(2))/(mu_(1))=(sini)/(sinr)`
Form the graph,
`tan60^(@)=(sini)/(sinr)rArr (sini)/(sinr)=sqrt(3)=(mu_(2))/(mu_(1))`
`mu=(c)/(v)rArr =(mu_(1))/(mu_(2))=(v_(2))/(v_(1))`
`v_(1)=((mu_(2))/(mu_(1)))v_(2)rArr v_(1)=sqrt(3)v_(2)`