☰ Contents · Physics

Speed of light, laws of reflection and refraction

Lessons 48–49 · 2 lessons · P. Habibullayev, A. Boydedayev, A. Bahromov, K. Suyarov, J. Usarov, M. Yuldasheva. Physics Grade 9, revised and expanded 3rd edition. G‘afur G‘ulom Publishing House, Tashkent, 2019
48

Determining the speed of light

Textbook: pp. 130–133
GoalKnow the methods of measuring the speed of light (Roemer, Fizeau, Foucault, Michelson) and the value c = 299 792 458 m/s.
New words
speed of light c · yorug‘lik tezligi castronomical method · astronomik usultoothed-wheel method · tishli g‘ildirak usulivacuum · vakuum
Explanation

Light seems to travel instantly, but its speed is finite. It was first estimated in 1676 by the Dane Ole Roemer, who observed how the time between eclipses of Jupiter’s moon Io changes along the Earth’s orbit: when the Earth moves away from Jupiter the eclipse is late because the light covers a longer path; c = D/t. The result based on his observations (about 2.2·10⁸ m/s) was smaller than today’s value, but it proved that the speed of light is finite. In 1849 the Frenchman Fizeau measured it on Earth: light passes between the teeth of a toothed wheel, is reflected from a distant mirror and, when the wheel spins at a certain frequency, passes through the next gap; c = 4lNν (l – distance from wheel to mirror, N – number of teeth, ν – rotation frequency). Later Foucault used rotating mirrors (1862) and Michelson an improved method (in the 1920s). The present value in vacuum is c = 299 792 458 m/s, and since 1983 the metre is defined through this speed; in problems we take c = 3·10⁸ m/s. No body can move faster than the speed of light in vacuum.

Worked examples
The Earth–Sun distance is 150 000 000 km: the light travel time is t = s/c = 150 000 000/300 000 = 500 s ≈ 8.3 min.
In Fizeau’s method with l = 10 000 m, N = 500, ν = 15 s⁻¹: c = 4lNν = 4·10 000·500·15 = 3·10⁸ m/s.
Class activity

Think: the Moon is 384 000 km from the Earth. How long does a radio signal (at the speed of light) take to reach the Moon? If someone on Earth asks a question and an astronaut on the Moon answers, how long is the pause in the conversation? Calculate it and imagine the pause.

Practice
1
What is the importance of Roemer’s result?
2
The Sun–Saturn distance is about 1.43·10⁹ km. About how long does sunlight take to reach Saturn? (c = 3·10⁵ km/s)
3
In Fizeau’s method with l = 8000 m, N = 600, ν = 12.5 s⁻¹, find c.
4
Why does a signal travelling to the Moon cause a pause in communication?