A diffraction grating 26.3 mm wide has 8120 rulings. Light of wavelength 537 nm is incident perpendicularly on the grating. What are the (a) largest, (b) second largest, and (c) third largest values of 0 at which maxima appear on a distant viewing screen?

You are asked to design a spectrometer such that, on a screen located a distance of 3.52 m from a diffraction grating, the m = 3 dark fringe for 550 nm light is located at a distance of 5.1 cm from the (m = 0) center of the screen. How many lines per centimeter should your diffraction grating have?

The two most prominent wavelengths in the light emitted by a hydrogen Discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 500 lines/mm, and the diffracted light is observed on a screen 1.50 m behind the grating. What is the distance on the screen between the first order red and blue fringes.