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Suppose your instructor uses a red helium-neon laser (? = 632.8 nm in air) to il

ID: 1701998 • Letter: S

Question

Suppose your instructor uses a red helium-neon laser (? = 632.8 nm in air) to illuminate two parallel vertical slits cut into a piece of metal foil. The very narrow slits are spaced 0.15 mm apart. (Assume that the slits themselves are much narrower than their separation distance, so ignore any single-slit diffraction effects that would result from each slit individually.)

a. If the central (0th-order) maximum is located at ?0 = 0°, what is the angular position ?, in degrees, of the 1st-order, 2nd-order, and 3rd-order maxima?

?1 =

?2 =

?3 =


b. The same diffraction pattern is displayed horizontally on a distant wall, 14 m away from the slits. Suppose the x-axis runs horizontally along the distant wall, and the origin of the x-axis (x = 0) is located at the central (0th-order) maximum. What is the position x of the 1st-order, 2nd-order, and 3rd-order maxima?

x1 =

x2 =

x3 =

Explanation / Answer

a. we have that a*sin?=lamda*n where n is the order of maxima. so ?1=4.2e-6(rad). ?2=8.4e-6(rad) ?3=1.3e-5(rad). ------- b. x=?*L x1=5.9e-5(m) x2=1.2e-4(m) x3=1.8e-4(m)