Diffraction Grating

A light beam is composed of three different colors: red (l R = 700 nm), yellow (l Y = 550 nm) and violet (l V = 400 nm). The beam is directed against a diffraction grating with 1000 lines/cm, and the diffraction pattern is observed on a screen a distance L = 5 m away from the grating.

Question 1: For which of the three colors is the first order maximum furthest away from the screen, and for which is it closest?

      1. 1 = red, 2 = yellow, 3 = violet
      2. 1 = yellow, 2 = violet, 3 = red
      3. 1 = violet, 2 = red, 3 = yellow
      4. 1 = red, 2 = violet, 3 = yellow
      5. 1 = violet, 2 = yellow, 3 = red

Question 2: What is the linear separation on the screen between the first order maxima of red and violet?

      1. D x = 1.2 m
      2. D x = 0.15 m
      3. D x = 2.2 m
      4. D x = 0.33 m
      5. D x = 0.01 m