In an experiment to measure the speed of
light by Fizeau’s apparatus, following data are used:
Distance between the mirrors=12.0 km,
Number of teeth in the wheel=180.
Find the minimum angular speed of the wheel for which the image is not seen.
Given: Fizeau’s apparatus,
Distance between the mirrors = 12.0 km = 12×103 m
Number of teeth in the wheel, n = 180
Speed of light = 3×108 ms-1
According to Fizeau’s apparatus,
Therefore,
Converting radians to degrees
Hence, the minimum angular speed of the wheel is ω = 1.25×104 degree/s for which the image is not seen.