A ray of light passes from air into glass at an angle of 45 degrees. What is the

A ray of light passes from air into glass at an angle of 45 degrees. What is the angle of refraction if the refractive index of glass is 1.5? (2022)

A ray of light passes from air into glass at an angle of 45 degrees. What is the angle of refraction if the refractive index of glass is 1.5? (2022)

Step 1: Identify the refractive indices. The refractive index of air (n1) is 1, and the refractive index of glass (n2) is 1.5.
Step 2: Identify the angle of incidence (theta1). The angle of incidence is given as 45 degrees.
Step 3: Write down Snell's law formula: n1 * sin(theta1) = n2 * sin(theta2).
Step 4: Substitute the known values into the formula: 1 * sin(45 degrees) = 1.5 * sin(theta2).
Step 5: Calculate sin(45 degrees). This is approximately 0.707.
Step 6: Rewrite the equation: 0.707 = 1.5 * sin(theta2).
Step 7: Solve for sin(theta2) by dividing both sides by 1.5: sin(theta2) = 0.707 / 1.5.
Step 8: Calculate the value: sin(theta2) ≈ 0.471.
Step 9: Find theta2 by taking the inverse sine (arcsin) of 0.471: theta2 ≈ 30 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.
Refractive Index – A dimensionless number that describes how fast light travels in a medium compared to vacuum.