Two slits of width 2 μm, each in an opaquematerial, are separated by a center-to-center distance of 6μm. A monochromatic light of wavelength450 nm is incident on the double-slit. One finds a combinedinterference and diffraction pattern on the screen.
(a) How many peaks of the interference will be observedin the central maximum of the diffraction pattern?
(b) How many peaks of the interference will be observedif the slit width is doubled while keeping the distance between theslits same?
(c) How many peaks of interference will be observed ifthe slits are separated by twice the distance, that is, 12μm,
while keeping the widths of the slits same?
(d) What will happen in (a) if instead of 450-nm lightanother light of wavelength 680 nm is used?
(e) What is the value of the ratio of the intensity ofthe central peak to the intensity of the next bright peak in(a)?
(f) Does this ratio depend on the wavelength of thelight?
(g) Does this ratio depend on the width or separation ofthe slits?
