Task 1: Interference of waves 1. Using the two-dimensional wave interference pattern shown, a ruler and the two equations involving wave path difference, complete the following. 1. Measure the distance between the sources, and the path distance from each of the sources to the nodal point shown on the diagram. Show the complete calculation for wavelength. 2. Measure the path distances from each of the sources to the anti-nodal point shown on the diagram. Using measurements from part 1 for the distance between sources and the measurements made in part 2, show the complete calculation for the wavelength. 3. What effect would an increase in frequency have on the interference pattern? 4. What effect would a decrease in the distance between the wave sources have on the interference pattern? 5. If the phase of the vibrating sources was changed so that they were vibrating completely out of phase, what effect would this have on the interference pattern? Task 2: Light interference patterns: Double-slit interference 1. When light is shone through a double slit, a pattern of bright and dark bands, fringes are visible on a screen. Using your knowledge of light properties, explain why this pattern occurs. 2. Upon using Thomas Young's double-slit experiment to obtain measurements, the following data were obtained. Use the following data to determine the wavelength of light being used to create the interference pattern. Do this using three different methods. The angle to the eighth maximum is 1.12. The distance from the slits to the screen is 302.0 cm. The distance from the central maximum to the fifth minimum is 3.33 cm. The distance between the slits is 0.000250 m. Task 3: Single-slit and multiple slit interference patterns 1. A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is 3.0 m away. The central maximum is 5.0 cm wide. a. Determine the width of the slit and the distance between adjacent maxima. b. What would the effect on this pattern be, if i. the width of the slit was smaller? ii. the screen was moved further away? iii. a larger wavelength of light was used? c. How would this interference pattern differ if the light was shone through a i. double slit? ii. diffraction grating?