Figure shows a ray of light as it travels from medium A to medium B. Refractive index of the medium B relative to medium A is

Options

A. `(sqrt(3))/(sqrt2)`
B. `(sqrt(2))/(sqrt(3))`
C. `(1)/(sqrt(2))`
D. `sqrt(2)`

Answer

A

Explanation

Given, angle or incidence, `i=60^(@)`, angle of refraction, `r=45^(@)`
Refractive index of the medium B relative to medium A,
`mu_(BA)=(sini)/(sinr)=(sin60^(@))/(sin45^(@))=((sqrt(3))/(2))/((1)/(sqrt(2)))=(sqrt(3))/(sqrt(2))`