If the refractive index of a medium is 1.33, what is the speed of light in that

Practice Questions

Q1
If the refractive index of a medium is 1.33, what is the speed of light in that medium if the speed of light in vacuum is 3 x 10^8 m/s?
  1. 2.25 x 10^8 m/s
  2. 2.5 x 10^8 m/s
  3. 2.75 x 10^8 m/s
  4. 3 x 10^8 m/s

Questions & Step-by-Step Solutions

If the refractive index of a medium is 1.33, what is the speed of light in that medium if the speed of light in vacuum is 3 x 10^8 m/s?
  • Step 1: Understand that the speed of light in a medium can be calculated using the formula: Speed of light in medium = Speed of light in vacuum / Refractive index.
  • Step 2: Identify the values given in the question. The speed of light in vacuum (c) is 3 x 10^8 m/s and the refractive index (n) is 1.33.
  • Step 3: Plug the values into the formula: Speed of light in medium = (3 x 10^8 m/s) / 1.33.
  • Step 4: Perform the division: Calculate (3 x 10^8) divided by 1.33.
  • Step 5: The result of the division is approximately 2.25 x 10^8 m/s.
  • Step 6: Conclude that the speed of light in the medium with a refractive index of 1.33 is about 2.25 x 10^8 m/s.
  • Refractive Index – The refractive index (n) of a medium is the ratio of the speed of light in vacuum (c) to the speed of light in that medium. It indicates how much light slows down in the medium.
  • Speed of Light Calculation – The speed of light in a medium can be calculated using the formula: Speed in medium = Speed in vacuum / Refractive index.
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