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Single Slit Diffraction

# Single Slit Diffraction - Single Slit Diffraction Cuong Su...

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Single Slit Diffraction Cuong Su Warren College, University of California, San Diego September 7, 2006 Abstract In this experiment, constructive and destructive interference of different waves of the same wavelength create diffraction patterns. Measurements of the amplitude of a microphone signal as a function of position of the microphone along a rail were taken. Plotting this data, the maxima and minima of diffraction pattern are found and use to measure the velocity of sound. In this experiment, the found speed of sound from the experiment was 132467m/s + 45545 m/s compared to the Theoretical speed of sound 346.7 m/s + .33m/s

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Introduction The purpose of this experiment is to calculate the speed of sound using found maxima and minima of diffraction patterns. In order to find the maxima and minima, the interference of sound waves were measured to find the diffraction pattern. Sound waves will reflect off almost any surface and therefore there will be interference from the waves being measured and waves reflecting off other surfaces. The sound waves used in this experiment have interference occurring from the sound wave coming from a speaker in a box which also will bound off many surfaces. The speaker mounted on the back of the box is connected to a function generator. The function generator was set to the center frequency of a band pass filter. The band pass filter is used in this experiment to remove background noise by amplifying the specific frequencies near the center frequency of the band pass filter. The sound waves that traveled from the microphone from the speaker are amplified are the signals being amplified and therefore are more accurately measured. The amplitude of the sound waves was measured using the oscilloscope and then converted into voltage. Theory This experiment works by knowing the following equation: d sinθ= n λ, where d is the distance of the slit, θ is the angle between a line from the microphone to the midpoint of the slit and a horizontal line in the plane of the slits, n is the order of the diffraction peak and λ is the wavelength of sound. In order to find sinθ the equation sinθ=x/(x 2 +l 2 ) 1/2 ,
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