What is the lowest m where 520 nm light disappears in a 6000 lines/cm grating?

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Homework Help Overview

The discussion revolves around a diffraction grating problem involving light wavelengths of 520 nm and 630 nm, specifically focusing on determining the lowest order value (m) for which the 520 nm light is no longer observable through a grating with 6000 lines/cm.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between wavelength, grating lines, and diffraction orders. Questions about starting points and relevant equations are raised, with some participants suggesting the use of the sine function related to diffraction.

Discussion Status

The discussion is in an exploratory phase, with participants sharing equations and concepts related to diffraction gratings. There is an acknowledgment of the condition under which the light disappears, specifically when the angle exceeds 90 degrees, but no consensus or resolution has been reached.

Contextual Notes

Participants are navigating the problem with limited initial information and are questioning the assumptions related to the diffraction conditions and the specific values of m.

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Lights with wavelengths of 520 nm and 630 nm passess through a diffraction grating that contains 6000 lines/cm or 600000 lines/m

what is the lowest value of m for which the 520 nm line no longer exists?
 
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where do i start with this...
 
Do you know any equations relating to diffraction gratings?
 
sin theta(m) = m(wavelength)/ d
 
Well all you have to do is find out how many orders you can get for that wavelength. You know when it disappears when [tex]\theta_m[/tex] is greater than 90 degrees.
 
thank you very much..
 

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