5. A double slit separated by 0.0580 mm is placed 1.50 m from a screen. (a) If yellow light of wavelength 588 nm strikes the double slit, what is the separation between the zeroth-order and the first-order maxima on the screen? (b) If blue light of wavelength 412 nm strikes the double slit, what is the separation between the second-order and fourth-order maxima? 6. Light at 683 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.45 10-5 m and an interference pattern is observed on a screen 2.00 m from the plane of the slits. (a) Find the angle from the central maximum to the first bright fringe. (b) At what angle from the central maximum does the second dark fringe appear? (c) Find the distance from the central maximum to the first bright fringe. 7. A thin film of glass (n = 1.52) of thickness 0.420 m is viewed under white light at near normal incidence. What wavelength of visible light is most strongly reflected by the film when surrounded by air? 8. Three discrete spectral lines occur at angles of 10.1, 13.7, and 14.8, respectively, in the first-order spectrum of a diffraction-grating spectrometer. If the grating has 3,200 slits/cm, (a) what is the wavelength associated with the first spectral line? (b) what is the wavelength associated with the second spectral line? (c) what is the wavelength associated with the third spectral line?