A light ray in glass (n=1.5) strikes the boundary with air at an angle of 30°. Will it undergo total internal reflection?
Practice Questions
1 question
Q1
A light ray in glass (n=1.5) strikes the boundary with air at an angle of 30°. Will it undergo total internal reflection?
Yes
No
Depends on the angle
Not enough information
Since the angle of incidence is less than the critical angle (θc = sin⁻¹(1/1.5) ≈ 41.8°), it will not undergo total internal reflection.
Questions & Step-by-step Solutions
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Q
Q: A light ray in glass (n=1.5) strikes the boundary with air at an angle of 30°. Will it undergo total internal reflection?
Solution: Since the angle of incidence is less than the critical angle (θc = sin⁻¹(1/1.5) ≈ 41.8°), it will not undergo total internal reflection.
Steps: 7
Step 1: Identify the refractive index of glass, which is n = 1.5.
Step 2: Identify the refractive index of air, which is approximately n = 1.0.
Step 3: Calculate the critical angle (θc) using the formula θc = sin⁻¹(n2/n1), where n1 is the refractive index of glass and n2 is the refractive index of air.
Step 4: Substitute the values into the formula: θc = sin⁻¹(1.0/1.5).
Step 5: Calculate θc, which is approximately 41.8°.
Step 6: Compare the angle of incidence (30°) with the critical angle (41.8°).
Step 7: Since 30° is less than 41.8°, the light ray will not undergo total internal reflection.
