Final answer:
Red and blue interference patterns will be distinct due to each light's different wavelength, and they will overlap on the screen, creating a combined but unsynchronized pattern of interference fringes.
Step-by-step explanation:
In Young's double-slit experiment, if a red filter covers one slit and a blue filter covers the other, an interference pattern will be produced for each color, red and blue, because each filter only allows light of its own color through. The principle of superposition dictates that where the waves from different colors overlap on the screen, the light will mix, creating an overlap of red and blue interference patterns.
However, due to the different wavelengths of red and blue light, the patterns will not be in sync. Red light, having a longer wavelength, will have wider spaced fringes compared to blue light. Thus, we are likely to observe distinct interference fringes for each color, with some regions where red and blue light fringes overlap, creating a combined effect. This is best represented by option B: 'there shall be an interference pattern for red distinct from that for blue.'