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Fizeau's measurement of the speed of light in air

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This article is about the experiment to measure the absolute speed of light in air. For Fizeau's experiment to measure the relative speed of light in a moving medium, see Fizeau experiment.

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.

Fizeau's determination of the speed of light

Figure 1: Schematic of the Fizeau apparatus. The light passes on one side of a tooth on the way out, and the other side on the way back, assuming the cog rotates one tooth during transit of the light.[1]: 123 

In 1848–49, Hippolyte Fizeau determined the speed of light between an intense light source and a mirror 8,633 meters distant. 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.[2][3] 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 x 8633m x 720 x 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.[4] 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.[5] 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).[2]

Cornu's refinement of the Fizeau experiment

Figure 2: Chronograph record from Cornu's speed of light determination shows wheel rotations, timing signals based on the observatory clock, and observer markings.[6]

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.[6] 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.[7]

See also

References

  1. ^ Tobin, William John (2003). The Life and Science of Leon Foucault: The Man Who Proved the Earth Rotates. Cambridge University Press. ISBN 9780521808552. Retrieved 10 March 2023.
  2. ^ a b "Fizeau's experiment: The original paper". Skulls in the Stars. 1 April 2008. Retrieved 9 March 2023.
  3. ^ Hughes, Stephan (2012). Catchers of the Light: The Forgotten Lives of the Men and Women Who First Photographed the Heavens. ArtDeCiel Publishing. pp. 202–223. ISBN 978-1-62050-961-6.
  4. ^ Abdul Al-Azzawi (2006). Photonics: principles and practices. CRC Press. p. 9. ISBN 0-8493-8290-4.
  5. ^ Michelson, Albert A. (1879). "Experimental Determination of the Velocity of Light". Proceedings of the American Association for the Advancement of Science: 71–77.
  6. ^ a b Cornu, Marie Alfred (1876). Détermination de la vitesse de la lumière: d'après des expériences exécutées en 1874 entre l'Observatoire et Montlhéry. Gauthier-Villars. Retrieved 9 March 2023.
  7. ^ Lauginie, P. (2004). "Measuring Speed of Light: Why? Speed of what?" (PDF). Proceedings of the Fifth International Conference for History of Science in Science Education. Archived from the original (PDF) on 4 July 2015. Retrieved 3 July 2015.
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