Antenna B is 51.0 mm to the right of antenna A. The two antennas emit electromagnetic waves that are in phase and have wavelength 6.00 mm. Both antennas have the same polarization. Part B What is the smallest distance to the right of antenna A for which is there a point of constructive interference?

Two sources of electromagnetic waves (light waves) are emitting coherent waves at a frequency of 717 THz. These two sources are located a distance d apart and aimed at point A, as shown below. If the top source is located a distance 3.0 meters away from point A, find the minimum, nonzero, distance d that will give constructive interreference. Enter your answer in millimeters. 4₁ Laser Laser d A

Part A You have been asked to measure the width of a slit in a piece of paper. You mount the paper 80.0 centimeters from a screen and illuminate it from behind with laser light of wavelength 633 nanometers (in air). You mark two of the intensity minima as shown in the figure, and measure the distance between them to be 17.9 millimeters. (Figure 1) What is the width a of the slit? Express your answer in micrometers, to three significant figures. • View Available Hint(s) ? um Subrnit Part B If the entire apparatus were submerged in water, would the width of the central peak change? > View Available Hintís) Figure O The width would increase. O The width would decrease. O The width would not change. Submit -17.9 mm- Provide Feedback

Two radio antennas A and B radiate in phase. Antenna B is a distance of 100 m to the right of antenna A. Consider point Q along the extension of the line connecting the antennas, a horizontal distance of 30.0 m to the right of antenna B. The frequency, and hence the wavelength, of the emitted waves can be varied. Part A What is the longest wavelength for which there will be destructive interference at point Q? Express your answer in meters. Π| ΑΣΦ λ = Submit Part B Request Answer λ = ? What is the longest wavelength for which there will be constructive interference at point Q? Express your answer in meters. Π ΑΣΦ m ? m

Unpolarized light with intensity Io is incident on an ideal polarizing filter. The emerging light strikes a second ideal polarizing fiter whose axis is at 38 0 to that of the first 4 Part A Determine the intensity of the beam after it has passed through the second polarizer Express your asnwer as a multiple of intensity lo. [IG] ΑΣΦ Submit Part B Request Answer Determine its state of polarization Submit O The light is linearly polarized along the axis of the first filter O The light is linearly polarized along the axis of the second fiter O The light is linearly polarized perpendicular to the ads of the second filter The light is linearly polarized perpendicular to the aus of the first fitor Hewest Answe < Return to Assignment 10 Provide Feedback

Part A One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about 3 cm across, and you estimate that the distance from the window Estimate the average wavelength of the sunlight (in nm). shade to the wall is about 5 mn O 350 nm 450 nm O 550 nm O 650 nm O 750 nm Submit Previous Answers v Correct Part B Estimate the diameter of the pinhole (in mm). Express your answer using one significant figure. IXI x•10" d = 1.83 • 10¯2 mm Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining

Yellow light with wavelength 600 nm is travelling to the right (in the positive x direction) in vacuum. The light is polarized along the +y direction. The light passes an observer X located on the x axis. (a) Draw a neat labeled movie mode vector picture of the wave at the location of AX. (b) If the wave were to represent blue light instead of yellow light, how would your diagram in part a change? Draw a new diagram to explain these changes. If there is no change, say so explicitly.

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Light of wavelength 710 nm falls on two slits and produces an interference pattern in which the third-order bright red fringe is 41 mm from the central fringe on a screen 2.2 m away.     Part A What is the separation of the two slits?