Final answer:
The distance between fringes in the center of the pattern on a screen 4.3 m away is approximately 0.0238 m or 23.8 mm.
Step-by-step explanation:
The distance between fringes in the center of the pattern can be calculated using the formula:
d = λL / D
where d is the distance between fringes, λ is the wavelength of light, L is the distance between the double slits, and D is the distance between the screen and the double slits.
Plugging in the given values, we have:
d = (633 nm) x (3.00 m) / (0.0800 mm)
Converting the units to meters and millimeters to meters, we get d ≈ 0.0238 m or 23.8 mm.