Velocity of Sound by Air Column

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Measuring the Velocity of Sound by Air Column Raw Data Quantitative Data Frequency (Hz) | Height (m) ±0.005 | 256.0 | 0.320 | 288.0 | 0.290 | 320.0 | 0.250 | 341.3 | 0.240 | 426.6 | 0.190 | 512.0 | 0.155 | Qualitative Data The height of the air column would have been a slight approximation, as it was difficult to determine the exact position of the pipe which emitted the strongest sound. The ruler used to measure the height of the air column was accurate to 1mm; therefore the uncertainty for these measurements was ±0.005m. The ruler was often accidentally placed above or below the water, as it was difficult to maintain it at the surface of the water. The error of Parallax would have been present when reading the measurements of the ruler, as the student often read the ruler from above. It was not certain that the ruler was parallel to the air column, and could have skewed the measurement of the height of the air column as longer than it realistically was. The wavelength of the sound was four times the height of the air column; hence the uncertainty for λ is ±0.02m. The tuning fork which was the source of the frequency is assumed to have no uncertainty. The tuning fork was always placed a few centimetres above the air column. Theory The height of the air column is equal to 14 the length of the wavelength because the particles on the surface of the water have no displacement, whereas the air particles at the top of the air column have the most displacement. The wave equation below can then be rearranged in order to plot the two variables of this experiment and linearise the data, where the slope equals the speed of sound. v=f×λ λ=v1f Processed Data Frequency (Hz) | Height (m) ±0.005 | 1f (s) | λ (m) ±0.02 | 256.0 | 0.320 | 0.0039063 | 1.28 | 288.0 | 0.290 | 0.0034722 | 1.16 | 320.0 | 0.250 | 0.0031250 | 1.00 |

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