In a double-slit experiment, when two different color beams (in this case, yellow and blue) are incident on both slits, the resulting interference pattern will depend on the wavelengths (colors) of the beams and the spacing between the slits.
Interference patterns occur when waves interact, and in the case of the double-slit experiment, they result from the superposition of waves passing through the two slits. The interference pattern is characterized by alternating regions of constructive and destructive interference.
Since yellow and blue light have different wavelengths, they will exhibit different interference patterns. Yellow light typically has a longer wavelength than blue light. The longer the wavelength, the larger the separation between adjacent bright or dark fringes in the interference pattern.
If the spacing between the slits is within a suitable range, both the yellow and blue beams will exhibit their respective interference patterns. However, since the wavelengths differ, the patterns will not overlap perfectly. The blue light's interference pattern will have a shorter spacing between bright and dark fringes compared to the yellow light's interference pattern.
Therefore, in the overlapping region, you would observe a combination of the two interference patterns. The resulting pattern may show regions where the bright fringes of one color align with the dark fringes of the other color, leading to some regions with diminished or canceled interference.
Overall, the interference pattern formed by the superposition of the yellow and blue beams will be a combination of their individual patterns, with varying spacing between the fringes depending on the respective wavelengths of the colors involved.