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If the refractive index of a medium is 2.0, what is the critical angle for total

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Question: If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection when light travels from this medium to air?

Options:

  1. 30°
  2. 45°
  3. 60°
  4. 90°

Correct Answer: 60°

Solution: 

Using the formula sin(θc) = n2/n1, where n1 = 2.0 (medium) and n2 = 1.0 (air), we find sin(θc) = 1.0/2.0 = 0.5, leading to θc = 60°.

If the refractive index of a medium is 2.0, what is the critical angle for total

Practice Questions

Q1
If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection when light travels from this medium to air?
  1. 30°
  2. 45°
  3. 60°
  4. 90°

Questions & Step-by-Step Solutions

If the refractive index of a medium is 2.0, what is the critical angle for total internal reflection when light travels from this medium to air?
Correct Answer: 60°
  • Step 1: Identify the refractive index of the medium (n1) and air (n2). Here, n1 = 2.0 and n2 = 1.0.
  • Step 2: Use the formula for the critical angle: sin(θc) = n2/n1.
  • Step 3: Substitute the values into the formula: sin(θc) = 1.0/2.0.
  • Step 4: Calculate the value: sin(θc) = 0.5.
  • Step 5: Find the critical angle (θc) by using the inverse sine function: θc = sin⁻¹(0.5).
  • Step 6: Determine the angle: θc = 30°.
  • Refractive Index – The refractive index is a measure of how much light slows down in a medium compared to its speed in a vacuum.
  • Total Internal Reflection – Total internal reflection occurs when light attempts to move from a denser medium to a less dense medium at an angle greater than the critical angle.
  • Critical Angle – The critical angle is the angle of incidence above which total internal reflection occurs.
  • Snell's Law – Snell's Law relates the angles of incidence and refraction to the refractive indices of the two media.
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