1.

The distance between the first and fifth minima of a single-slit diffraction pattern is 0.450 mm with the screen 39.0 cm away from the slit, when light of wavelength 540 nm is used. (a) Find the slit width. (b) Calculate the angle 0 of the first diffraction minimum.Manufacturers of wire (and other objects of small dimension) sometimes use a laser to continually monitor the thickness of the product. The wire intercepts the laser beam, producing a diffraction pattern like that of a single slit of the same width as the wire diameter (the gure below). Suppose a heliumneon laser, of wavelength 632.8 nm, illuminates a wire, and the diffraction pattern appears on a screen at distance L = 2.72 m. If the desired wire diameter is 1.44 mm, what is the observed distance between the two 11- th-order minima (one on each side of the central maximum)? The radar system of a navy cruiser transmits at a wavelength of 1.5 cm, from a circular antenna with a diameter of 2.3 m. At a range of 7.1 km, what is the smallest distance in meters that two speedboats can be from each other and still be resolved as two separate objects by the radar system