i need towrite an equation for how fast the wavelegnths for the aurora borealis travel at?
Wavelegnth = speed Divided by frequency
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Distance L = vt; velocity v times time traveled. When a wave of light travels its velocity, v = c, the speed of light. Thus L = ct. If we say that L = wavelength, then the time t is called the period, which is just the time light takes to travel the length of one wavelength. One wavelength can be measured as one cycle, from crest to crest for example, of a wave. In which case t = seconds/cycle when t is the period of a wave. And therefore we see that 1/t = cycles/second = f, which is the frequency of the light. Then L = ct = c/f; so that Lf = c. And there we have it. The light from the AB will travel at the speed of light. And we can find the wave lengths of that light by measuring the frequencies (color) of the emitted light. That is, L = c/f. A spectrometer can be used to measure the frequencies, from which the wave lengths can be found. Now, this may not be what you are looking for. The AB actually wave back and forth in the magnetic flux of the Earth's magnetic field (usually near the poles). If that's what you are looking for; I have no idea because I have no idea what frequencies the Earth's magnetic flux fluctuates at.
