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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!

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