Coherent electromagnetic waves with wavelength pass through a narrow slit of width aa$.$ The diffraction pattern is observed on a tall screen that is $2\mathrm{.}00$ mm from the slit. When $=500$nm$=500$nm$,$ the width on the screen of the central maximum in the diffraction pattern is $8\mathrm{.}00$ mmmm$.$

For the same slit and screen, what is the width of the central maximum when $=0\mathrm{.}125$mm$=0\mathrm{.}125$mm$?$