You pass (589.0-mathrm{nm}) radiation and (589.6-mathrm{nm}) radiation through a diffraction grating that has 500. 0 slits (/

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You pass \(589.0-\mathrm{nm}\) radiation and \(589.6-\mathrm{nm}\) radiation through a diffraction grating that has 500. 0 slits \(/ \mathrm{mm}\).

(a) In the diffraction pattern, what is the angular separation between the \(m=3\) peak for the \(589.0-\mathrm{nm}\) radiation and the \(m=3\) peak for the 589. 6-nm radiation?

(b) Are there fourth-order fringes in the diffraction pattern?

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