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Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 6th Edition
11
Vibrations and Waves
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11-1 to 11-3: Simple Harmonic Motion
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11-4: Simple Pendulum
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11-7 and 11-8: Waves
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11-9: Wave Energy
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11-10: Intensity Related to A and f
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11-12: Interference
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11-13: Standing Waves; Resonance
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11-14: Refraction
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11-15: Diffraction
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Problem 55
A
9.7cm9.7 \textrm{cm}
Giancoli 6th Edition, Chapter 11, Problem 55 solution video poster
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COMMENTS
By xueyang.peng on Mon, 4/21/2014 - 9:51 PM

Why would you need to divide wavelength by two to find out the distance between the two adjacent nodes?

By Mr. Dychko on Thu, 4/24/2014 - 3:52 AM

Hi xueyang, good question. Wavelength is measured between equal parts of the wave. Adjacent nodes are not quite equal. Sure, they have the same displacement from equilibrium (zero, in other words), but the wave is moving in different directions at adjacent nodes, so in this respect adjacent nodes are not equal. Since they're not strictly equal, you can not measure wavelength as the distance between adjacent nodes, but it turns out that adjacent nodes are a half wavelength apart.

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