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A beam of light in glass (n=1.5) strikes the glass-air interface at an angle of

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Question: A beam of light in glass (n=1.5) strikes the glass-air interface at an angle of 60°. Will total internal reflection occur?

Options:

  1. Yes
  2. No
  3. Only if the angle is increased
  4. Only if the angle is decreased

Correct Answer: No

Solution: 

To determine if total internal reflection occurs, we first find the critical angle using sin(θc) = 1/n = 1/1.5, which gives θc ≈ 41.8°. Since 60° > 41.8°, total internal reflection will not occur.

A beam of light in glass (n=1.5) strikes the glass-air interface at an angle of

Practice Questions

Q1
A beam of light in glass (n=1.5) strikes the glass-air interface at an angle of 60°. Will total internal reflection occur?
  1. Yes
  2. No
  3. Only if the angle is increased
  4. Only if the angle is decreased

Questions & Step-by-Step Solutions

A beam of light in glass (n=1.5) strikes the glass-air interface at an angle of 60°. Will total internal reflection occur?
Correct Answer: No, total internal reflection will not occur.
  • Step 1: Identify the refractive index of glass, which is given as n = 1.5.
  • Step 2: Use the formula for the critical angle, which is sin(θc) = 1/n.
  • Step 3: Substitute the value of n into the formula: sin(θc) = 1/1.5.
  • Step 4: Calculate 1/1.5, which equals approximately 0.6667.
  • Step 5: Find the critical angle θc by taking the inverse sine (arcsin) of 0.6667.
  • Step 6: Calculate θc, which is approximately 41.8°.
  • Step 7: Compare the angle of incidence (60°) with the critical angle (41.8°).
  • Step 8: Since 60° is greater than 41.8°, conclude that total internal reflection will not occur.
  • 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 Calculation – The critical angle is calculated using the formula sin(θc) = 1/n, where n is the refractive index of the denser medium.
  • Refraction and Angles – Understanding the relationship between the angle of incidence and the angle of refraction at the interface of two media.
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