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If the speed of light in vacuum is 3 x 10^8 m/s, what is its speed in a medium w

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Question: If the speed of light in vacuum is 3 x 10^8 m/s, what is its speed in a medium with refractive index 1.5?

Options:

  1. 2 x 10^8 m/s
  2. 2.5 x 10^8 m/s
  3. 3 x 10^8 m/s
  4. 1.5 x 10^8 m/s

Correct Answer: 2 x 10^8 m/s

Solution: 

The speed of light in a medium is given by v = c/n, where c is the speed of light in vacuum and n is the refractive index. Thus, v = 3 x 10^8 m/s / 1.5 = 2 x 10^8 m/s.

If the speed of light in vacuum is 3 x 10^8 m/s, what is its speed in a medium w

Practice Questions

Q1
If the speed of light in vacuum is 3 x 10^8 m/s, what is its speed in a medium with refractive index 1.5?
  1. 2 x 10^8 m/s
  2. 2.5 x 10^8 m/s
  3. 3 x 10^8 m/s
  4. 1.5 x 10^8 m/s

Questions & Step-by-Step Solutions

If the speed of light in vacuum is 3 x 10^8 m/s, what is its speed in a medium with refractive index 1.5?
  • Step 1: Identify the speed of light in vacuum, which is given as 3 x 10^8 m/s.
  • Step 2: Identify the refractive index of the medium, which is given as 1.5.
  • Step 3: Use the formula for the speed of light in a medium, which is v = c/n.
  • Step 4: Substitute the values into the formula: v = (3 x 10^8 m/s) / 1.5.
  • Step 5: Perform the division: 3 x 10^8 m/s divided by 1.5 equals 2 x 10^8 m/s.
  • Step 6: Conclude that the speed of light in the medium is 2 x 10^8 m/s.
  • Speed of Light in Different Media – Understanding how the speed of light changes when it passes through different materials, specifically using the formula v = c/n.
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