1. You shine red laser light with wavelength 670 nm through two narrow slits whe
ID: 1896701 • Letter: 1
Question
1. You shine red laser light with wavelength 670 nm through two narrow slits where thespacing 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?
Explanation / Answer
a) sin? = ?/d sin? = 670*10^-9/5*10^-6 = 0.134 ? = 7.7 deg b) dark fringe c) smallest angle for path difference of ?/8 will decrease again dark fringe will be formed number of fringe will increase for same height on the screen d) smallest angle for path difference of ?/8 will decrease again dark fringe will be formed number of fringe will increase for same height on the screen
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