Yes, the width of the slits in the double-slit experiment does matter and can have an impact on the observed interference pattern. The width of the slits can affect the diffraction and interference of the light passing through them, leading to variations in the resulting pattern.
If the slits are too wide compared to the wavelength of the light, the interference pattern tends to become less pronounced. This is because wider slits allow a broader range of angles for light to pass through, resulting in less distinct interference fringes. In this case, the diffraction effects dominate over the interference effects.
On the other hand, if the slits are too narrow compared to the wavelength of the light, the interference pattern can also be affected. With narrower slits, the diffraction effects become more significant, resulting in broader and fuzzier interference fringes. The overall visibility of the interference pattern may decrease, and the resolution of the fringes may be limited.
Ideally, for a well-defined and clear interference pattern, the width of the slits should be comparable to the wavelength of the light. This allows for a sufficient range of angles for the light to interfere constructively or destructively, creating distinct interference fringes. However, it's worth noting that the exact relationship between the slit width and the wavelength depends on several factors, including the experimental setup, the characteristics of the light source, and the distance between the slits and the screen.
In summary, the width of the slits in the double-slit experiment does have an impact on the interference pattern. Slits that are too wide or too narrow compared to the wavelength of the light can affect the visibility and resolution of the interference fringes, with broader or less distinct patterns observed. The optimal slit width for a well-defined interference pattern depends on various experimental parameters.