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In a total internal reflection scenario, if the angle of incidence is 45° and th

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Question: In a total internal reflection scenario, if the angle of incidence is 45° and the refractive index of the medium is 1.5, what is the angle of refraction?

Options:

  1. 45°
  2. 30°
  3. 60°
  4. Total internal reflection occurs

Correct Answer: Total internal reflection occurs

Solution: 

Since the angle of incidence (45°) is less than the critical angle (approximately 41.8° for glass to air), total internal reflection does not occur, and the angle of refraction cannot be calculated.

In a total internal reflection scenario, if the angle of incidence is 45° and th

Practice Questions

Q1
In a total internal reflection scenario, if the angle of incidence is 45° and the refractive index of the medium is 1.5, what is the angle of refraction?
  1. 45°
  2. 30°
  3. 60°
  4. Total internal reflection occurs

Questions & Step-by-Step Solutions

In a total internal reflection scenario, if the angle of incidence is 45° and the refractive index of the medium is 1.5, what is the angle of refraction?
  • Step 1: Understand the scenario of total internal reflection. It occurs when light travels from a denser medium to a less dense medium.
  • Step 2: Identify the angle of incidence given in the question, which is 45°.
  • Step 3: Know that the critical angle is the angle of incidence above which total internal reflection occurs. For a medium with a refractive index of 1.5 (like glass), the critical angle is approximately 41.8°.
  • Step 4: Compare the angle of incidence (45°) with the critical angle (41.8°). Since 45° is greater than 41.8°, total internal reflection occurs.
  • Step 5: Since total internal reflection occurs, there is no angle of refraction to calculate. The light does not pass into the second medium.
  • Total Internal Reflection – Total internal reflection occurs when the angle of incidence exceeds the critical angle, resulting in no refraction and all light being reflected back into the medium.
  • Critical Angle – The critical angle is the minimum angle of incidence at which total internal reflection occurs, dependent on the refractive indices of the two media.
  • Snell's Law – Snell's Law relates the angles of incidence and refraction to the refractive indices of the two media, but is not applicable in total internal reflection scenarios.
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