Question

a ray of light in air strikes a glass plate at an angle of incidence 60°.the reflected ray is observed to be perpendicular to the refracted ray. what is the refractive index of the glass​

Answer 1

Step-by-step explanation:

The refractive index of the glass is 1.73.

When a ray of light strikes a surface, it is either reflected, refracted, or both. The angle of refraction is determined by the refractive index of the two materials, the angle of incidence, and the law of refraction.

The law of refraction states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the refractive index of the second material divided by the refractive index of the first material.

In this problem, the angle of incidence is 60 degrees, and the refracted ray is perpendicular to the reflected ray. This means that the angle of refraction is 30 degrees.

The refractive index of the glass is therefore:

n = sin(i) / sin(r) = sin(60) / sin(30) = √3 / 1/2 = 2 / 1 = 1.73