Calculating Speed of Light in a Diamond

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Homework Help Overview

The original poster attempts to calculate the speed of light in a diamond given its refractive index. The problem involves understanding the relationship between the speed of light in a vacuum and its speed in a medium with a specific refractive index.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of the refractive index and its relation to Snell's law, with some questioning whether Snell's law is necessary for this calculation.

Discussion Status

The discussion is exploring the definitions and relationships involved in the problem, with participants providing guidance on focusing on the definition of the refractive index rather than Snell's law. There is an ongoing exchange about the relevance of these concepts.

Contextual Notes

There is a focus on clarifying the definitions and relationships between refractive index and light speed, with some participants expressing confusion about the role of Snell's law in this context.

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.

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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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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