Double$-$slit interference: Light from a monochromatic source shines through a double slit onto a screen $5\mathrm{.}00$ m away. The slits are $0\mathrm{.}180$mm$0\mathrm{.}180\backslash ,\backslash$text$\{$mm$\}$ apart. The dark bands on the screen are measured to be $1\mathrm{.}70$cm$1\mathrm{.}70\backslash ,\backslash$text$\{$cm$\}$ apart. What is the wavelength of the incident light?

A$)457$nm$457\backslash ,\backslash$text$\{$nm$\}$

B$)306$nm$306\backslash ,\backslash$text$\{$nm$\}$

C$)392$nm$392\backslash ,\backslash$text$\{$nm$\}$

D$)612$nm$612\backslash ,\backslash$text$\{$nm$\}$

E$)784$nm$784\backslash ,\backslash$text$\{$nm$\}$