Answer
$d=9.0\times10^{-6}m $
Work Step by Step
The spacing on the screen between bright fringes is addressed in Example 24-1.
For light shining through 2 slits separated by a distance d, the spacing between successive fringes on a screen a distance $\mathcal{l}$ away is $\Delta x = \frac{\lambda \mathcal{l}}{d}$.
Here, the spacing $\Delta x$ is 0.35 m. Solve for the slit spacing d.
$$\Delta x = 0.35m= \frac{(633\times10^{-9}m)(5.0m)}{d }$$
$$d=9.0\times10^{-6}m $$