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

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Question: 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?

Options:

Correct Answer: 2.25 x 10^8 m/s

Solution:

Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.33 ≈ 2.25 x 10^8 m/s.

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?

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.