Question

Q.14. Figure shows path of a ray of light travelling from a transparent medium A to another transparent medium B. Refractive index of medium B relative to medium A is.?




please give an step-by-step explanation..!​

Answer 1

Answer:

Refractive index of medium B relative A is $\sqrt{2}$.

Explanation:

When light goes  from one medium to another refraction occurs. According to Snell's law . The refractive index of medium B to medium A is defined as ratio of sine angle of incidence to the sine angle of refraction.

⇒$n_{BA}=\frac{Sin (i)}{Sin(r)}$, Angle of incidence =45°

Angle of refraction=30°

$n_{BA}=\frac{Sin 45}{Sin30}=\frac{1/\sqrt{2} }{1/2}=\sqrt[]{2}$

Refractive index of medium B relative A is $\sqrt{2}$.