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In an experiment to measure the speed of light by Fizeau’s apparatus, following data are used: Distance between the mirror = 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.

In an experiment to measure the speed of light by Fizeau’s apparatus, following data are used:
Distance between the mirror = 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.

Grade:10

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
Sol. In the given Fizeau’` apparatus, D = 12 km = 12 × 10^3 m n = 180 c = 3 × 10^8 m/sec We know, c = 2Dnω/π ⇒ ω = πc/2Dn rad/sec = πc/2Dn * 180/π deg/sec ⇒ ω = 180 * 3 * 10^8/24 * 10^3 * 180 = 1.25 * 14^4 deg/sec

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