A light ray traveling in a medium with n=1.6 strikes the boundary with air at an

Practice Questions

Q1
A light ray traveling in a medium with n=1.6 strikes the boundary with air at an angle of 50°. What will happen?
  1. Total internal reflection
  2. Partial reflection and refraction
  3. Complete absorption
  4. No reflection

Questions & Step-by-Step Solutions

A light ray traveling in a medium with n=1.6 strikes the boundary with air at an angle of 50°. What will happen?
  • Step 1: Identify the refractive index of the medium. Here, n = 1.6.
  • Step 2: Determine the angle at which the light ray strikes the boundary. The angle is 50°.
  • Step 3: Calculate the critical angle (θc) using the formula θc = sin^(-1)(1/n).
  • Step 4: Substitute the value of n into the formula: θc = sin^(-1)(1/1.6).
  • Step 5: Calculate the critical angle: θc ≈ 38.7°.
  • Step 6: Compare the angle of incidence (50°) with the critical angle (38.7°).
  • Step 7: Since 50° is greater than 38.7°, total internal reflection occurs.
  • Refraction and Total Internal Reflection – Understanding how light behaves at the boundary between two different media, particularly when the angle of incidence exceeds the critical angle.
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