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Young's double split experiment and diffraction grating
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Young’s double slit experiment and diffraction grating. Equipment: Laser Single slit Double slit Diffraction grating Metre ruler Vernier callipers Retort stand White screen (e.g. mini whiteboard). Aim of experiment – investigate relationship between the slits and the screen with the fringe width. w = ƛD /s. Independent variable – fringe width, w Dependent variable – distance between the slits and the screen, D. Control variables: Laser Wavelength, λ Slit separation, s. Instructions: Fix laser and the slits to a retort stand and place the screen so that the D is 0.5 m, measured using the metre ruler. Turn off room lights and turn off laser. Make sure the laser is only facing whiteboard as if it reflects of something or goes through a window, it could cause damage to someone’s eye. Use a pen to mark where on the whiteboard the central fringe and the fifth fringe to either side. Turn of the laser and turn the lights on and measure the distance between the two lines on your whiteboard using a vernier calliper. To find the fringe width, w, divide the measurement by 5. Increase the distance by 0.1m m and repeat the procedure, increasing it by 10 cm each time until it reaches 1. m. Repeat the experiment twice again and then calculate and record the mean fringe width, w for each distance D. D / m W / m 1st^ reading W / m 2nd^ reading W/m 3rd^ reading. W/mean
1.7 0.0052 0.0052 0. 1.8 0.0064 0.0064 0. 1.9 0.008 0.008 0. 2 0.009m 0.009m 0.
Fringe spacing eq: w = λD /s w = distance between each fringe (m) ƛ = eye elength of the laser height. (m) D = distance between the slit and the screen (m). S = the slit separation (m). Y = mx + c -> therefore. Y = w(m) X = D (m) 9 Gradient = λ /s (unitless) Plot a graph of w against D and draw a line of best fit. The wavelength of laser light = gradient x slit separation. D/m Interference by Diffraction Grating Equipment: Laser (class 2, less than 1 milliwatt) Retort stand Diffraction grating Set square Vernier calliper White screen (e.g. mini whiteboard’) Aim of experiment – calculate the wavelength of light using a diffraction grating. Independent variable – distance between maxima, h Dependent variable – the angle between the normal and each order, θn. Control variables: - Distance between the slits and the screen, D