Would a prism made of diamond be better at dispersing light than one made of glass? Why or why not?

Short Answer

Expert verified
Answer: Yes, a prism made of diamond would be better at dispersing light than one made of glass due to its higher refractive index (2.42) compared to glass (1.5 - 1.9). The higher refractive index leads to better dispersion properties and a more colorful separation of light into its individual colors.

Step by step solution

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1. Research the refractive indices of diamond and glass

First, we need to find out the refractive indices of diamond and glass. We can look this up in a reference book or search online. The average refractive index of diamond is around 2.42, while for glass, it is typically between 1.5 and 1.9.
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2. Compare the values of the refractive indices

Now that we know the refractive index values for diamond and glass, we can compare them. When comparing the values, we can see that the refractive index of diamond (2.42) is significantly higher than that of glass (1.5 - 1.9).
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3. Analyze the relationship between refractive index and dispersion

Since the refractive index of a material determines how much light is bent and, consequently, how much it is dispersed into different colors, a higher refractive index indicates better dispersion properties. In this case, diamond's higher refractive index means that it will be better at dispersing light than glass.
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4. Final conclusion

Given the higher refractive index of diamond compared to glass, we can conclude that a prism made of diamond would indeed be better at dispersing light than one made of glass. The higher the refractive index, the greater the dispersion, which leads to a more colorful and more extensive separation of light into its individual colors.

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