Nearly monochromatic coherent light waves leave two rectangular slits in phase and at an angle of θ = 22.0° with the normal. When the light reaches a distant screen, the waves from the center of one slit are 344° out of phase with the waves from the center of the other slit, and the waves from the top of either slit are 172° out of phase with the waves from the bottom of that slit. (a) How is the center-to-center distance between the slits related to the width of either slit? (b) Calculate the intensity at the screen for θ = 22.0° if the intensity at θ = 0° is 0.234 W/m2 .

Two slits are illuminated by a monochromatic plane wave of wavelength k. The slits have a width a=3k, and the distance between them is d=9k. (a) Determine if there are any interference maxima that are missing from the two-slit interference pattern because the minimum of the diffraction occurs in the same direction. Find all angles that lead to such missing orders. (b) Calculate the intensity of the first two-slit constructive interference fringe (|m|=1) relative to I(1), the intensity of the central peak.

In a double slit experiment light of wavelength 650 nm passes through two 3.00 µm wide slits whose centers are 9.00 µm apart and is viewed on a screen 2.50 m away from the slits. (a) What is the distance along the screen between the second order maxima and the central maximum? (b) What is the ratio of the intensity of the second order maxima and the intensity of the central maximum? (c) How many interference maxima are visible in the central maximum of the diffraction envelope? (d) Include a sketch of the situation and a plot of the intensity versus position along the screen.

Monochromatic light (wavelength = 455 nm) is incident perpendicularly on a single slit (width = 0.56 mm). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is 2.1 mm. (a) What is the distance from the slit to the screen? (Hint: The angle to either minimum is small enough that sin ≈ tan 9.) (b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum? (a) Number 120 (b) Number i 1.8 Units Units cm mm