What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)

Practice Questions

Q1
What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 53 degrees

Questions & Step-by-Step Solutions

What is the Brewster's angle for light in air (n=1) reflecting off glass (n=1.5)?
  • Step 1: Understand Brewster's angle. It is the angle at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection.
  • Step 2: Identify the refractive indices. In this case, n1 (for air) is 1 and n2 (for glass) is 1.5.
  • Step 3: Use the formula for Brewster's angle: tan(θ_B) = n2/n1.
  • Step 4: Substitute the values into the formula: tan(θ_B) = 1.5 / 1.
  • Step 5: Calculate the value: tan(θ_B) = 1.5.
  • Step 6: Use a calculator or trigonometric table to find θ_B. Find the angle whose tangent is 1.5.
  • Step 7: The result is approximately 53 degrees.
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