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measuring the speed of light: michelson in 1926, albert michelson measured the speed of light with a technique similar to that used by fizeau. michelson used an eight-sided mirror rotating at 528 rev/s in place of the toothed wheel, as illustrated in the figure(figure 1). the distance from the rotating mirror to a distant reflector was 35.5 km. if the light completed the 71.0- km round trip in the time it took the mirror to complete one-eighth of a revolution, what is the speed of light?



Answer :

bharathparasad577

The speed of light is 3 * 10⁸ m/s.

Mirrors with different faces revolving at extremely high speeds are used in Michelson's method to calculate the speed of light.

  • Michelson erected a reflector on Mount San Antonio and mounted a rotating mirror on Mount Wilson.
  • With an air jet, he revolutionized the mirror. By contrasting the rotating mirror with an electrically powered tuning fork, he was able to determine the frequency.
  • As a result, it is possible to compute and's value. The answer provided by Michelson for the speed of light in a vacuum was highly coherent, unidirectional laser beams are used in contemporary methods to measure the speed of light.
  • This allows for extremely accurate measurement of the speed of light. The speed of light in empty space is generally agreed to be.

Given,

period = 1/528

period = 0.001894 secs

for 1/8th of a revolution, it will be,

period = 0.001894 * 1/8

period for 1/8th of a revolution = 0.0002367424 secs

we know that,

speed = distance/ time

speed of light = 71000m / 0.0002367424 secs

speed of light = 299904000 m/s

Rounding up we get the speed of light as 3 * 10⁸ m/s.

Hence, the speed of light is 3 * 10⁸ m/s

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