Assignment 20 Query

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course Phy 122

3/10 1 pm

020. `Query 18

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Question: `qPrinciples of Physics and General Physics Problem 24.14: By what percent does the speed of red light exceed that of violet light in flint glass?

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Your solution:

It seems that the refraction of the violet and red light in the flint glass is about 1.66 and 1.62.

1.66 / 1.62 = 1.025, which is 102.5%, therefore the speed of red light exceeds the speed of the violet light by about 2.5%

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Given Solution:

`aThe respective indices of refraction for violet and red light in flint glass appear from the given graph to be about 1.665 and 1.620.

The speed of light in a medium is inversely proportional to the index of refraction of that medium, so the ratio of the speed of red to violet light is the inverse 1.665 / 1.62 of the ratio of the indices of refraction (red to violet). This ratio is about 1.028, or 102.8%. So the precent difference is about 2.8%.

It would also be possible to figure out the actual speeds of light, which would be c / n_red and c / n_violet, then divide the two speeds; however since c is the same in both cases the ratio would end up being c / n_red / ( c / n_violet) = c / n_red * n_violet / c = n_violet / n_red, and the result would be the same as that given above.

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