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What is the critical angle for total internal reflection when light travels from

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Question: What is the critical angle for total internal reflection when light travels from water (n = 1.33) to air (n = 1)?

Options:

  1. 48.6 degrees
  2. 53.1 degrees
  3. 60 degrees
  4. 90 degrees

Correct Answer: 53.1 degrees

Solution: 

The critical angle (θc) can be calculated using sin(θc) = n2/n1. Here, n1 = 1.33 (water) and n2 = 1 (air). Thus, sin(θc) = 1/1.33, giving θc ≈ 53.1 degrees.

What is the critical angle for total internal reflection when light travels from

Practice Questions

Q1
What is the critical angle for total internal reflection when light travels from water (n = 1.33) to air (n = 1)?
  1. 48.6 degrees
  2. 53.1 degrees
  3. 60 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

What is the critical angle for total internal reflection when light travels from water (n = 1.33) to air (n = 1)?
  • Step 1: Identify the refractive indices. For water, n1 = 1.33 and for air, n2 = 1.
  • Step 2: Use the formula for critical angle: sin(θc) = n2/n1.
  • Step 3: Substitute the values into the formula: sin(θc) = 1/1.33.
  • Step 4: Calculate the value of sin(θc): sin(θc) ≈ 0.7519.
  • Step 5: Use the inverse sine function to find θc: θc = sin⁻¹(0.7519).
  • Step 6: Calculate θc, which is approximately 53.1 degrees.
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