Two slits of width 3 μm, each in an opaque material, are separated by a center-to-center distance of 7.5 μm. A monochromatic light of wavelength 400 nm is incident on the double-slit. One finds a combined interference and diffraction pattern on the screen. How many peaks of the interference will be observed in the central maximum of the diffraction pattern? Please show all the work! Thanks!

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Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.