Solve the given problem:
Problem: 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 (680nm) through the slit onto a screen 5.5m away, a diffraction pattern appears. The bright band in the center of the pattern is 8.2cm wide.
Part 1- What is the width of the slit?
Please include each step and the equations you used. Thanks!