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A beam of light passes from air into a medium with a refractive index of 1.5. If

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Question: A beam of light passes from air into a medium with a refractive index of 1.5. If the angle of incidence is 30 degrees, what is the angle of refraction? (2022)

Options:

  1. 19.1 degrees
  2. 20 degrees
  3. 25 degrees
  4. 30 degrees

Correct Answer: 19.1 degrees

Exam Year: 2022

Solution: 

Using Snell\'s law, n1 * sin(i) = n2 * sin(r). Thus, sin(r) = (1 * sin(30)) / 1.5 = 0.333, giving r ≈ 19.1 degrees.

A beam of light passes from air into a medium with a refractive index of 1.5. If

Practice Questions

Q1
A beam of light passes from air into a medium with a refractive index of 1.5. If the angle of incidence is 30 degrees, what is the angle of refraction? (2022)
  1. 19.1 degrees
  2. 20 degrees
  3. 25 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

A beam of light passes from air into a medium with a refractive index of 1.5. If the angle of incidence is 30 degrees, what is the angle of refraction? (2022)
  • Step 1: Identify the refractive indices. The refractive index of air (n1) is approximately 1, and the refractive index of the medium (n2) is 1.5.
  • Step 2: Identify the angle of incidence (i), which is given as 30 degrees.
  • Step 3: Write down Snell's law formula: n1 * sin(i) = n2 * sin(r).
  • Step 4: Substitute the known values into the formula: 1 * sin(30 degrees) = 1.5 * sin(r).
  • Step 5: Calculate sin(30 degrees), which is 0.5. So the equation becomes: 1 * 0.5 = 1.5 * sin(r).
  • Step 6: Simplify the equation: 0.5 = 1.5 * sin(r).
  • Step 7: Solve for sin(r) by dividing both sides by 1.5: sin(r) = 0.5 / 1.5.
  • Step 8: Calculate 0.5 / 1.5, which equals approximately 0.333.
  • Step 9: Find the angle r by taking the inverse sine (arcsin) of 0.333: r ≈ 19.1 degrees.
  • Refraction – The bending of light as it passes from one medium to another with a different refractive index.
  • Snell's Law – A formula used to describe the relationship between the angles of incidence and refraction when light passes between two media.
  • Refractive Index – A dimensionless number that describes how fast light travels in a medium compared to vacuum.
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