Question

A ray of yellow light crosses the boundary between glass and air, going from the glass into air. If the angle of incidence is 40��, what is the angle of refraction? (Assume that the index of refraction of glass is 1.5.)

Answer 1

The angle of refraction is approximately 24.33°.

Step-by-step explanation:

To determine the angle of refraction, we can use Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction of the two media.

Let's denote the angle of incidence as θ1 and the angle of refraction as θ2. The index of refraction of glass is given as 1.5.

Using Snell's Law, we have:

sin(θ1) / sin(θ2) = n2 / n1

Substituting the given values:

sin(40°) / sin(θ2) = 1 / 1.5

Now, we can solve for θ2:

sin(θ2) = sin(40°) * 1.5

θ2 = sin-1(sin(40°) * 1.5)

Therefore, the angle of refraction is approximately 24.33°.