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In an experiment with Foucault’s apparatus, the various distance used are as follows: Distance between the rotating and the fixed mirror = 16 Distance between the lens and the rotating mirror = 6 m, Distance between the source and the lens = 2 m. When the mirror is rotated at a speed of 356 revolutions per second, the image shifts by 0.7 mm. Calculate the speed of light from these data.

In an experiment with Foucault’s apparatus, the various distance used are as follows:
Distance between the rotating and the fixed mirror = 16
Distance between the lens and the rotating mirror = 6 m,
Distance between the source and the lens = 2 m.
When the mirror is rotated at a speed of 356 revolutions per second, the image shifts by 0.7 mm. Calculate the speed of light from these data.

Grade:11

1 Answers

Kevin Nash
askIITians Faculty 332 Points
6 years ago
Sol. In the given Focault experiment, R = Distance between fixed and rotating mirror = 16m ω = Angular speed = 356 rev/’ = 356 × 2π rad/sec b = Distance between lens and rotating mirror = 6m a = Distance between source and lens = 2m s = shift in image = 0.7 cm = 0.7 × 10^–3 m So, speed of light is given by, C = 4R^2ωa/s(R + b) = 4 * 16^2 * 356 * 2π * 2/0.7 * 10^-3(16 + 6) = 2.975 * 10^8 m/s

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