Calculating Speed of Light in a Diamond

In summary, the conversation discusses the calculation of the speed of light in a diamond with a refractive index of 2.4. It is mentioned that the definition of index of refraction is needed, and that it is related to Snell's law. The definition of index of refraction is provided as a link for reference.
  • #1
dantenewton
7
0

Homework Statement



Question

Given that the speed of light in a vacuum is 3.0 x 10^8 ms^-1, calculate the speed of light in a diamond of refractive index 2.4.

Homework Equations



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3. Attempt

So if the refractive index is 2.4, which means 2.4 = sin i / sin r, how can I solve this question? Can anyone give me a helping hand?
 
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  • #2
You're thinking of Snell's law, but all you need is the definition of index of refraction.
 
  • #3
Doc Al said:
You're thinking of Snell's law, but all you need is the definition of index of refraction.

Thank you but, doesn't the refractive index involves Snell's law?
 
  • #4
danteNewton said:
Thank you but, doesn't the refractive index involves Snell's law?

The other way around, actually. :-p Snell's law involves the refractive indexes of the materials.

Look up the definition of refractive index!
 
  • #5
Last edited by a moderator:

FAQ: Calculating Speed of Light in a Diamond

How is the speed of light calculated in a diamond?

The speed of light in a diamond is calculated by dividing the speed of light in a vacuum by the refractive index of the diamond. The refractive index of a diamond is approximately 2.42.

What is the speed of light in a diamond?

The speed of light in a diamond is approximately 124,000,000 meters per second.

Why is the speed of light slower in a diamond compared to a vacuum?

The speed of light is slower in a diamond due to the diamond's high refractive index. This causes the light to slow down as it travels through the diamond, resulting in a lower speed.

Does the speed of light in a diamond vary?

The speed of light in a diamond can vary slightly depending on factors such as the diamond's cut, clarity, and temperature. However, these variations are very small and do not significantly affect the overall speed of light in a diamond.

How is the speed of light in a diamond relevant to scientific research?

The speed of light in a diamond is relevant to scientific research because it can provide insights into the properties of diamonds and how light behaves in different materials. This can also have practical applications in fields such as optics and telecommunications.

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