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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 glass (n = 1.5) to air (n = 1)?
  1. 30 degrees
  2. 41.8 degrees
  3. 48.6 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

What is the critical angle for total internal reflection when light travels from glass (n = 1.5) to air (n = 1)?
  • Step 1: Identify the refractive indices of the two materials. For glass, n1 = 1.5 and for air, n2 = 1.
  • Step 2: Use the formula for the critical angle, which is sin(θc) = n2/n1.
  • Step 3: Substitute the values into the formula: sin(θc) = 1/1.5.
  • Step 4: Calculate 1/1.5, which equals approximately 0.6667.
  • Step 5: Use the inverse sine function to find θc: θc = sin^(-1)(0.6667).
  • Step 6: Calculate the angle using a calculator, which gives θc ≈ 41.8 degrees.
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