For a demonstration, a professor uses a razor blade to cut a thin slit in a piece of aluminum foil. When she shines a laser pointer \((\lambda=680 \mathrm{~nm})\) through the slit onto a screen \(5.5 \mathrm{~m}\) away, a diffraction pattern appears. The bright band in the center of the pattern is \(8.0 \mathrm{~cm}\) wide. What is the width of the slit?