A laser beam is incident on a diffraction grating with $300$ lines $\frac{?}{mm}.$ The first$-$order maximum of the interference pattern is observed at $10\mathrm{.}9.$ The path length difference of rays from adjacent slits of the grating that form the first$-$order maximum is

$532$ nm

$633$ nm

cannot tell from the information provided.

$1266$ nm