Waves and Light Online Lab: You will investigate the interference pattern of laser light passing through two narrow slits. Use the following simulation https://ophysics.com/15.html make measurements of Ax by changing the slit separation d (use 1.0, 1.5, 2.0,2.5 and 3.0 micro-meters) while keeping the length L-10 micro-meters and the wavelength lambda = 400 nano-meters constant. A) Table: Decide on what data to collect and make an appropriate table to collect data for the interference fringes separation Ax vs. the slit separation d. Include at least 5 different slit separations d (use 1.0, 1.5, 2.0,2.5 and 3.0 micro-meters). [4] Slit separation d (um) 1.0 1.5 2.0 2.5 3.0 Slit separation Ax (um) 1.4 1.6 2.0 2.8 4.4 B) Derivation: Derive the expected theoretical equation based on the values used above for Ax as a function of the slit separation d. Make sure to include a diagram with all variables labeled and full annotated solution. [4] C) Graph: Plot a graph of Ax vs. (1/d) using google spreadsheets (linearize the data) and determine the relationship that best fits the data. Model it based on the theoretical equation expected from the derivation. Include proper description below the graph. [4] Analysis -Waves and Light: Answer the following questions: /10 marks 1) Two slits are separated by 0.25 mm and produce an interference pattern. The fourth minimum is 0.128 m from the central maximum. The wavelength of the light used is 5.7 x 107 m. Determine the distance at which the screen is placed. Draw a diagram with all givens labelled. [2] 2) If the wavelength of a red laser pointer is 632.4 nm, calculate the number of photons per second released by the laser pointer if it has a power of 2 W. Think modern physics and quantization of energy! [2] 9.11 3) When an x-ray photon of wavelength > = 0.02 nm collides with an electron of mass x10kg at rest, the collision produces a new x-ray photon with wavelength = 0.020325 nm and the electron flies off with some kinetic energy. Assuming an elastic collision. What is the speed of the electron? Hint: use only conservation of energy and the quantization of energy. [3]