What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?
Practice Questions
1 question
Q1
What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?
30 degrees
41.8 degrees
48.6 degrees
60 degrees
Critical angle (C) is given by sin(C) = n2/n1. Thus, sin(C) = 1/1.5, C = sin^(-1)(0.6667) ≈ 41.8 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?
Solution: Critical angle (C) is given by sin(C) = n2/n1. Thus, sin(C) = 1/1.5, C = sin^(-1)(0.6667) ≈ 41.8 degrees.
Steps: 7
Step 1: Understand that the critical angle is the angle of incidence above which total internal reflection occurs.
Step 2: Know that the formula to find the critical angle (C) is sin(C) = n2/n1, where n1 is the refractive index of the first medium (glass) and n2 is the refractive index of the second medium (air).
Step 3: Identify the refractive indices: n1 (glass) = 1.5 and n2 (air) = 1.0.
Step 4: Substitute the values into the formula: sin(C) = 1.0 / 1.5.
Step 5: Calculate the value: sin(C) = 0.6667.
Step 6: Use the inverse sine function to find C: C = sin^(-1)(0.6667).
