You shine red laser light with wavelength 670 nm through two narrow slits where the spacing between the slits is 0.005 mm. You use a screen placed far from the slits to detect the interference pattern.

a. What is the smallest angle where the path difference is 1/8 of the wavelength?

b. What would you expect to see, qualitatively, at the height on the screen that corresponds to the angle from part (a)?

c. Sketch this situation, including the overall pattern on the screen, and indicate the positions described in parts (a) and (b).

d. Consider parts (a), (b), and (c) above. What would change, and what would stay the same if we replaced the red laser with a green laser that has wavelength 532 nm?

e. Consider parts (a), (b), and (c) above. What would change, and what would stay the same if we increased the slit spacing to 0.01 mm?