In a Michelson experiment for measuring speed of light, the distance travelled by light between two reflections from the rotating mirror is 4.8 km. The rotating mirror has a shape of a regular octagon. At what minimum angular speed of the mirror (other than zero) the image is formed at the position where a nonrotating mirror forms it?
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The angular speed is 7.8 × 103 rev/s.
Explanation:
- Light travels a distance from the rotating mirror (D) between two reflections = 4.8 × 103 m.
- Number of faces that the mirror has is N = 8.
- Mirror has the angular speed, ω= ?
- As per the Michelson experiment, the light has the speed (c), which is shown as
- c = ωDN2π
- where
- N = polygon mirror’s faces
- ω = angular speed
- Therefore, ω = 2πcDN rad/s
- = 7.8 × 103 rev/s
- So, the angular speed is 7.8 × 103 rev/s.
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