Red Laser Light Passes Through a Single Slit to Form $\theta$

Multiple Choice

Red laser light passes through a single slit to form a diffraction pattern. If the width of the slit is increased by a factor of two, what happens to the width of the central maximum? Note: Assume that the angle $\theta$ is sufficiently small so that (sin $\theta$ ) is nearly equal to $\theta$ .

A) The width of the central maximum increases by a factor of 4.
B) The width of the central maximum decreases by a factor of 2.
C) The width of the central maximum decreases by a factor of 4.
D) The width of the central maximum increases by a factor of 2.
E) The width of the central maximum does not change.