If the angle of incidence in a medium is 70° and the refractive index of the med

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Question: 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?

Options:

Correct Answer: Yes

Solution:

Since 70° > θc = sin⁻¹(1/1.5) ≈ 41.8°, total internal reflection will occur.

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?

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?

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.

Total Internal Reflection – Total internal reflection occurs when the angle of incidence exceeds the critical angle, which is determined by the refractive indices of the two media.
Critical Angle Calculation – The critical angle can be calculated using the formula θc = sin⁻¹(n2/n1), where n1 is the refractive index of the medium where the light is coming from, and n2 is the refractive index of the second medium.