Light with wavelength $600\,\text{nm}$ falls on a pair of slits, producing fringes that are spaced $4.0\,\text{mm}$ apart on a screen. What is the fringe spacing if the wavelength is changed to $400\,\text{nm}$ and the slit separation is doubled?
- A$1.3\,\text{mm}$
- B$3.0\,\text{mm}$
- C$5.3\,\text{mm}$
- D$12\,\text{mm}$