In Michelson's method for finding the velocity of light, an octagonal prism

AmbarThapa

In Michelson’s method for finding the velocity of light, an octagonal prism was used. It was found that the first reappearance of image occurs when the prism is rotated at the speed of 500 rev/sec. Calculate the velocity of light if the distance between the prism and the distant mirror is 37 kilometer (k.m).

samrat_adhikari

Variables used

C = Speed of light = ?
m = faces of octagonal prism = 8
f = rotational speed (frequency) = 500 rev/sec
d = distance = 37 km = 37000 meter

Solution

C = 2mfd = 2 × 8 × 500 × 37000
c = 2,960,000,00 = 2.96 × 10⁸

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