Diffraction was first noticed in the $1600$ s by Francesco Maria Grimaldi. Isaac Newton observed diffraction as well. Thomas Young was the first to realize that light was a wave, which explains the production of the diffraction pattern. You shine light $(630$ nm $)$ on a single slit with width $0\mathrm{.}430$ mm $.$

$($a$)$ Find the width of the central maximum located $2\mathrm{.}10$ m from the slit.

m

$($b$)$ What is the width of the first order bright fringe?

m