What is the critical angle for total internal reflection from glass to air if th

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Question: What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?

Options:

Correct Answer: 41.8 degrees

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.

What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?

What is the critical angle for total internal reflection from glass to air if the refractive index of glass is 1.5?

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).
Step 7: Calculate the angle: C ≈ 41.8 degrees.

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