In a traveling electromagnetic wave, the electric field is represented mathemati

Question

In a traveling electromagnetic wave, the electric field is represented mathematically as E = E0 sin[(2.2 x 1010 s-1)t - (5.6 x 101 m-1)x] where E0 is the maximum field strength. (a) What is the frequency of the wave? (b) This wave and the wave that results from its reflection can form a standing wave, in a way similar to that in which standing waves can arise on a string (see Section 17.5). What is the separation between adjacent nodes in the standing wave?

I got part A right. The answer is 3501408748 Hz. I cannot get the right answer for part B though. PLEASE HELP!!

Explanation / Answer

You are given k=40 m^-1 (the number in front of x). This means that wavelength = 2pi/k = 2pi/40 = 0.15708 meters the separation between nodes of a standing wave is ALWAYS half a wavelength. So in your case... separation = wavelength / 2 = 0.07854 meters or 7.854 cm

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