Fizeau's measurement of the speed of light in air
1848 experiment by Hippolyte Fizeau From Wikipedia, the free encyclopedia
In 1848−49, Hippolyte Fizeau used a toothed wheel apparatus to perform an absolute measurement of the speed of light in air.
Subsequent experiments performed by Marie Alfred Cornu in 1872–76 improved the methodology and made a more accurate measurement.
In 1848–49, Hippolyte Fizeau determined the speed of light using an intense light source at the bell tower of his father's holiday home in Suresnes, and a mirror 8,633 meters away on Montmartre.[2] The light source was interrupted by a rotating cogwheel with 720 notches that could be rotated at a variable speed several times a second. (Figure 1) Fizeau increased the rotation speed of the cogwheel until light passing through one notch of the cogwheel would be completely eclipsed by the adjacent tooth. At 12.6 rotations per second, the light was eclipsed. At twice this speed (25.2 rotations per second), it was again visible as it passed through the next notch. At 3 times the speed it was again eclipsed.[3][4] Given the rotational speed of the wheel and the distance between the wheel and the mirror, Fizeau was able to calculate a value of 2 × 8633m × 720 × 25.2/s = 313,274,304 m/s for the speed of light. Fizeau's value for the speed of light was about 5% too high.[5] The correct value is 299,792,458 m/s. It was difficult for Fizeau to visually estimate the intensity minimum of the light being blocked by the adjacent teeth.[6] Other sources of error include the measurement of the distance from the wheel to the mirror, and the measurement of the speed of rotation of the wheel. Fizeau's paper appeared in Comptes Rendus Hebdomadaires de séances de l’Academie de Sciences (Paris, Vol. 29 [July–December 1849], pp. 90–92).[3]
At the behest of the Paris Observatory under Urbain Le Verrier, Marie Alfred Cornu repeated Fizeau's 1848 toothed wheel measurement in a series of experiments in 1872–76. The goal was to obtain a value for the speed of light accurate to one part in a thousand. Cornu's equipment allowed him to monitor high orders of extinction, up to the 21st order. Instead of estimating the intensity minimum of the light being blocked by the adjacent teeth, a relatively inaccurate procedure, Cornu made pairs of observations on either side of the intensity minima, averaging the values obtained with the wheel spun clockwise and counterclockwise. An electric circuit recorded the wheel rotations on a chronograph chart, which enabled precise rate comparisons against the observatory clock. A telegraph key arrangement allowed Cornu to mark the precise moments when he judged that extinction had been entered on this same chart or exited.[7] His final experiment was run over a path nearly three times as long as that used by Fizeau, and yielded a figure of 300400 km/s that is 0.2% above of the modern value.[8]
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