The index of refraction for a diamond for

red light of wavelength 655 nm is 2.35, while
that for blue light of wavelength 437 nm is
2.26. Suppose white light is incident on the
diamond at 29.5�.
Find the angle of refraction for red light.
Answer in units of �

To find the angle of refraction for red light, we can use Snell's law which relates the angles of incidence and refraction to the indices of refraction of the two media. Snell's law states:

n₁ * sin(θ₁) = n₂ * sin(θ₂)

Where:
n₁ = index of refraction of the initial medium (air, in this case)
n₂ = index of refraction of the final medium (diamond, in this case)
θ₁ = angle of incidence
θ₂ = angle of refraction

We are given the index of refraction for diamond for red light (n₂ = 2.35) and the incident angle (θ₁ = 29.5 degrees).

First, we need to find the angle of refraction for red light (θ₂) using Snell's law. Rearranging the equation, we have:

sin(θ₂) = (n₁ / n₂) * sin(θ₁)

Substituting the given values, we get:

sin(θ₂) = (1 / 2.35) * sin(29.5 degrees)

Using a calculator, find the value of sin(θ₂) and then take the inverse sine (sin⁻¹) to find the angle:

θ₂ = sin⁻¹[(1 / 2.35) * sin(29.5 degrees)]

Calculate this expression to find the angle of refraction for red light in units of degrees.

Snells law

sinIncidentAngle*1=sinRefractionangle*2.35