A Single Thin Slit Forms a Diffraction Pattern, with the First

Multiple Choice

A single thin slit forms a diffraction pattern, with the first minimum at an angle of $40.0 ^ { \circ }$ from central maximum. If monochromatic light of $530.0 - \mathrm { nm }$ wavelength is used for the illumination, what is the width of the slit?

A) $723 \mathrm {~nm}$
B) $825 \mathrm {~nm}$
C) $791 \mathrm {~nm}$
D) $757 \mathrm {~nm}$
E) $689 \mathrm {~nm}$