With a single slit and a screen 1.0m away, green light of wavelength 500nm produces a central maximum 4.0mm wide. If the light is replaced by violet light of wavelength 400nm, what should be the new slit width so that the central maximum remains 4.0mm wide?
(a) 0.25mm
(b) 0.20mm
(c) 0.31mm
(d) 0.10mm