A screen $1.00\,\text{m}$ from a double slit shows fringes with spacing $x$ when the slits are illuminated by yellow light of wavelength $600\,\text{nm}$. At what distance from the slits should the screen be placed so that blue light of wavelength $400\,\text{nm}$ produces fringes with the same spacing $x$?
- A$0.33\,\text{m}$
- B$0.67\,\text{m}$
- C$0.75\,\text{m}$
- D$1.50\,\text{m}$