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# According to Snell’s law, the angle of refraction ?2 of a ISBN: 9780073401331 38

## Solution for problem 12E Chapter 3.4

Statistics for Engineers and Scientists | 4th Edition

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Problem 12E

Problem 12E

According to Snell’s law, the angle of refraction θ2 of a light ray traveling in a medium of index of refraction n is related to the angle of incidence θ1 of a ray traveling in a vacuum through the equation sin θ2 = n sin θ2. Assume that θ1 = 0.3672 ± 0.005 radians and θ2 = 0.2943 ± 0.004 radians. Estimate n, and find the uncertainty in the estimate.

Step-by-Step Solution:

Answer :

Step 1 of 3 :

Given,

From the Snell’s law, the angle of refraction of a light ray traveling in a medium of index of refraction n is related to the angle of incidence of a ray travelling in a vacuum through the equation = n sin We have, = 0.3672 0.005radians and = 0.2943 0.004 radians.

The claim is to estimate n and the uncertainty in the estimate.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

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According to Snell’s law, the angle of refraction ?2 of a