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The yellow light from a sodium vapor lamp seems to be of pure wavelength, but it produces two first-order maxima at $36.093^{\circ}$ and $36.129^{\circ}$ when projected on a $10,000$ line per centimeter diffraction grating. What are the two wavelengths to an accuracy of 0.1 ${nm}$ ?

589.1 $\mathrm{nm}$ and 589.6 $\mathrm{nm}$

Physics 103

Chapter 27

Wave Optics

Cornell University

University of Michigan - Ann Arbor

University of Washington

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

05:16

The bright yellow light em…

02:43

35.11. Coherent light from…

03:29

The yellow light of sodium…

02:13

Yellow-orange light from a…

03:23

$\bullet$ Coherent light f…

01:33

What is the frequency of t…

01:18

The yellow light from a so…

04:55

A light source emits two d…

01:09

In the second-order spectr…

03:15

A Michelson interferometer…

02:26

Careful spectral analysis …

13:03

Light at wavelength 589 nm…

03:21

When yellow sodium light, …

00:39

A sodium-vapor lamp has a …

01:44

A sodium flame has a chara…

01:53

Coherent light that contai…

08:41

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04:18

06:36

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08:31

A diffraction grating has …

this problem. We were asked to find the two prevalence to an accuracy off 0.1 nano meter. So first we'll find a D. The slight distance. Ah, for one centimeter we have or 10,000 lines or this will become D will become 0.1 00 meters on working this into centimeters, you got about 10,000 lines. This will give us a D or far into the power minus six meters. Then for a first order maximum, a lumber is equal to D sign later for a lame day for our first Linda than day. Well, then we have one month Climate 10 true power minus six times a sign 36 0.93 This will give us a Linda a the first lindo 5.8 91 time. Stand to the power minus seven meters which is for 89.1 Nana creatures for Lambda B second. Linda, uh, this will be one time stand about minus six guns sign 36 point 129 Simplifying this gives us the Lambda B to B 589.6 Men are meters

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