Calculating Speed of Light in a Diamond

AI Thread Summary
To calculate the speed of light in a diamond with a refractive index of 2.4, the definition of the index of refraction is crucial. The speed of light in a medium can be determined using the formula: speed of light in vacuum divided by the refractive index. Participants clarify that while Snell's law relates to refractive indices, it is not necessary for this specific calculation. The focus should remain on the direct relationship between light speed and refractive index. Understanding this concept is essential for solving the problem accurately.
dantenewton
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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.

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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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You're thinking of Snell's law, but all you need is the definition of index of refraction.
 
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?
 
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!
 
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