Monochromatic light is directed at two very narrow slits separated by a distance of $0.10\,\text{mm}$. On a screen $2.0\,\text{m}$ away, an alternating pattern of bright and dark fringes is formed. The spacing between neighbouring bright fringes is $8.0\,\text{mm}$. What path difference between the waves from the two slits corresponds to the second-order dark fringe?
- A$2.0 \times 10^{-7}\,\text{m}$
- B$4.0 \times 10^{-7}\,\text{m}$
- C$6.0 \times 10^{-7}\,\text{m}$
- D$8.0 \times 10^{-7}\,\text{m}$