A narrow single slit (in air) in an opaque screen is illuminated by infrared from a He–Ne laser at 1152.2 nm, and it is found that the center of the tenth dark band in the Fraunhofer pattern lies at an angle of 6.2° off the central axis. Determine the width of the slit. At what angle will the tenth minimum appear if the entire arrangement is immersed in water (n_w = 1.33) rather than air (n_α = 1.000 29)?