The refractive index n of a piece of glass is related to

Chapter 3, Problem 8E

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QUESTION:

The refractive index n of a piece of glass is related to the critical angle \(\theta\) by \(n=1 / \sin \theta\). Assume that the critical angle is measured to be \(0.70 \pm 0.02 \mathrm{~rad}\). Estimate the refractive index, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

theta

n=1/sin{theta}

0.70{+/-}0.02 rad

Questions & Answers

QUESTION:

The refractive index n of a piece of glass is related to the critical angle \(\theta\) by \(n=1 / \sin \theta\). Assume that the critical angle is measured to be \(0.70 \pm 0.02 \mathrm{~rad}\). Estimate the refractive index, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

theta

n=1/sin{theta}

0.70{+/-}0.02 rad

ANSWER:

Answer :

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.


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