If the angle of incidence in a medium is 70° and the refractive index of the medium is 1.5, will total internal reflection occur?
Practice Questions
1 question
Q1
If the angle of incidence in a medium is 70° and the refractive index of the medium is 1.5, will total internal reflection occur?
Yes
No
Only at certain angles
Not applicable
Since 70° > θc = sin⁻¹(1/1.5) ≈ 41.8°, total internal reflection will occur.
Questions & Step-by-step Solutions
1 item
Q
Q: If the angle of incidence in a medium is 70° and the refractive index of the medium is 1.5, will total internal reflection occur?
Solution: Since 70° > θc = sin⁻¹(1/1.5) ≈ 41.8°, total internal reflection will occur.
Steps: 7
Step 1: Understand the concept of total internal reflection. It occurs when light travels from a denser medium to a less dense medium and the angle of incidence is greater than a certain critical angle.
Step 2: Identify the angle of incidence given in the question, which is 70°.
Step 3: Find the refractive index of the medium, which is given as 1.5.
Step 4: Calculate the critical angle (θc) using the formula: θc = sin⁻¹(1/n), where n is the refractive index. Here, n = 1.5.
Step 5: Calculate θc: θc = sin⁻¹(1/1.5) ≈ 41.8°.
Step 6: Compare the angle of incidence (70°) with the critical angle (41.8°).
Step 7: Since 70° is greater than 41.8°, total internal reflection will occur.
