A 485-nm light beam passes through a slit and forms a diffraction pattern on a screen (0.320

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A 485-nm light beam passes through a slit and forms a diffraction pattern on a screen \(0.320 \mathrm{~m}\) from the slit. The \(n=1\) and \(n=-1\) dark fringes are \(22.4 \mathrm{~mm}\) apart on the screen.

(a) How wide is the slit?

(b) What is the greatest angle from the original beam direction at which a dark fringe occurs?

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