Final answer:
The width of the slit is 1.0 μm.
Step-by-step explanation:
When light passes through a single slit, it undergoes diffraction, which causes interference patterns. The width of the central peak in the diffraction pattern is related to the width of the slit and the wavelength of the light. In this case, the width of the central peak is given as 5.0 mm and the wavelength is given as 600 nm.
Using the formula for the width of the central peak, we can solve for the width of the slit:
Width of slit = (wavelength * distance to screen) / (number of the peak * distance to the peak)
Substituting the given values into the formula, we find that the width of the slit is 1.0 μm.