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## Homework Statement

Light emitted by Element X passes through a diffraction grating having 1200 lines/mm. The diffraction pattern is observed on a screen 75.0 cm behind the grating. Bright fringes are seen on the screen at distances of 56.2 cm, 65.9 cm, and 93.5 cm from the central maximum. No other fringes are seen.

What is the maximum value of m for each of these diffracted wavelengths?

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What are the wavelengths of light emitted by Element X?

## Homework Equations

[tex]\theta[/tex]

_{m}= m([tex]\lambda/d[/tex]) (angles of bright fringes)

y

_{m}= (m[tex]\lambda[/tex]L)/d

dsin[tex]\theta[/tex]

_{m}= m[tex]\lambda[/tex]

y

_{m}- Ltan[tex]\theta[/tex]

_{m}

## The Attempt at a Solution

\thetaNo clue for this one. I tried plugging various things into the second equation, but got lost. I also don't understand how it can have multiple [tex]\lambda[/tex].

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