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.


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