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# The refractive index n of a piece of glass is related to ISBN: 9780073401331 38

## Solution for problem 8E Chapter 3.3

Statistics for Engineers and Scientists | 4th Edition

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Problem 8E

The refractive index n of a piece of glass is related to the critical angle θ by n = 1/sin θ. Assume that the critical angle is measured to be 0.70 ± 0.02 rad. Estimate the refractive index, and find the uncertainty in the estimate.

Step-by-Step Solution:

Step 1 of 3 :

Given, the refractive index n of a piece of glass is related to the critical angle By 1 / sin We have to assume that the critical angle is measured to be 0.70 0.02

The claim is to find the refractive index and the uncertainty in the estimate.

Step 2 of 3 :

Refractive index is n = Where, = (0.70)

Then ,  n = Sin (0.70) = 0.64421

n = = 1.55

Therefore, refractive index n = 1.55

Step 3 of 3

##### ISBN: 9780073401331

The full step-by-step solution to problem: 8E from chapter: 3.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The refractive index n of a piece of glass is related to the critical angle ? by n = 1/sin ?. Assume that the critical angle is measured to be 0.70 ± 0.02 rad. Estimate the refractive index, and find the uncertainty in the estimate.” is broken down into a number of easy to follow steps, and 45 words. Since the solution to 8E from 3.3 chapter was answered, more than 255 students have viewed the full step-by-step answer. This full solution covers the following key subjects: angle, refractive, critical, estimate, index. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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