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An electric current through hydrogen gas produces several distinct wavelengths of visible light. What are the wavelengths of the hydrogen spectrum, if they form first-order maxima at angles of $24.2^{\circ}, 25.7^{\circ}, 29.1^{\circ},$ and $41.0^{\circ}$ when projected on a diffraction grating having $10,000$ lines per centimeter? Explicitly show how you follow the steps in

410 $\mathrm{nm}$434 $\mathrm{nm}$486 $\mathrm{nm}$656 $\mathrm{nm}$

Physics 103

Chapter 27

Wave Optics

Rutgers, The State University of New Jersey

University of Washington

Simon Fraser University

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

04:09

An electric current throug…

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Hydrogen light grating def…

04:17

A diffraction grating with…

07:40

Calculate all the waveleng…

02:13

The hydrogen spectrum has …

06:36

The two most prominent wav…

03:40

The wavelengths of the Pas…

04:30

02:54

A photon with a wavelength…

01:02

Hydrogen One line in hydro…

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The series of emission lin…

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The hydrogen spectrum incl…

06:00

01:59

03:32

The wavelengths of the Lym…

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01:52

Two of the lines of the at…

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Determine the wavelengths …

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One series of lines of the…

well The first order Maximum last order maximum. We have an easy call to one. Um d is equal to 4 10,000 lines. Personal future. He's 20 body by 10,000. So 10,000 and converting into a meters gives us the distance off, then to the power minus six meters. Readers, Then we can use ah d sign that relation which is a whole two m times. Linda and musical the one so Linda one will be equal to, um d that a stenting power minus six times angle. Therefore, first angle we have here is 24.2 degrees so, so refined this we get Linda, one is off four or nine man a meter. We will do the same procedure for London too. Devi, have extended power minus six. Read at that Uh, we have here is 25 17 This gives us lender to 433 and an imager. Nanami drew Similarly, we can find a London three substituting the 33 and then we have limbo trees for it. Six man Amedure sand with 11 before it's 11 before will be six five six millimeter for the given angle

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