Problem #2 (10 points) ? Circle the correct answer to each part! Consider the di

Question

Problem #2 (10 points) ? Circle the correct answer to each part! Consider the diffraction and interference pattern created by sending a green laser beam of wavelength 510 nm through a pair of slits 0.28 mm wide and separated by 1.26 mm on a screen that's 17.0 m away. (a) (2 pts) Suppose you switch from the green laser (510 nm) to a red laser (650 nm). Does the spacing between the fringes in the interference pattern decrease. increase, or slay the same? Increases. Decreases. Remains the same. Need more information. (b) (2 pts) Suppose you increase the separation distance between the slits. Does the spacing between the fringes in the interference pattern decrease, increase, or stay the same? Increases. Decreases . Remains the same. Need more information. (c) (2 pts) For the green laser (510 nm). what is the distance yml, (in mm) measured on the screen from the center of the central maximum to the first dark fringe of the interference pattern? (d) (2 pts) For the green laser (510 nm). what is the distance ydf (in mm) measured on the screen from the center of the central maximum to the first dark fringe of the diffraction pattern? mm (e) (2 pts) how many bright interference fringes n tot, including the central interference maximum. are found inside the central diffraction maximum'?

Explanation / Answer

a) spacing = lambda L/d

so increase

b) spacing = lambda L/a

so increases

c)

y = m lambda L/d = 1*510.0E-9*17/1.26E-3= 6.88E-3 m = 6.88 mm

d) now y = m lambda L/a = 1*510.0E-9*17/0.28E-3=3.10E-2 m = 31.0 mm

e) so n bright = ydark/ybright = 31/6.88= 4.5

so there are 4 bright above zero, 4 below and one at zero

so 4 + 4 + 1 = 9

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