A light ray strikes a glass surface at an angle of 60 degrees. If the refractive

A light ray strikes a glass surface at an angle of 60 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

A light ray strikes a glass surface at an angle of 60 degrees. If the refractive index of glass is 1.5, what is the angle of refraction?

Step 1: Identify the given values. The angle of incidence (i) is 60 degrees, the refractive index of air (n1) is 1, and the refractive index of glass (n2) is 1.5.
Step 2: Write down Snell's law formula: n1 * sin(i) = n2 * sin(r).
Step 3: Substitute the known values into the formula: 1 * sin(60 degrees) = 1.5 * sin(r).
Step 4: Calculate sin(60 degrees). It is approximately 0.866.
Step 5: Rewrite the equation: 0.866 = 1.5 * sin(r).
Step 6: Solve for sin(r) by dividing both sides by 1.5: sin(r) = 0.866 / 1.5.
Step 7: Calculate sin(r): sin(r) is approximately 0.577.
Step 8: Find the angle r by taking the inverse sine (arcsin) of 0.577. This gives r approximately equal to 40 degrees.

Refraction – The bending of light as it passes from one medium to another with a different refractive index.
Snell's Law – A formula used to describe the relationship between the angles of incidence and refraction when light passes between two different media.