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Name That Harmonic: Strings - help6

Like any object, a string has a set of frequencies at which it naturally vibrates. When plucked, strummed, or somehow set into vibration, the string will vibrate at one of these frequencies. These frequencies are referred to as harmonics. Each harmonic is associated with its own unique standing wave pattern.

There is only one version of this question; it is shown below. The ordering of the images in the graphic display will be randomized each time the question is displayed:
 

Identify the standing wave pattern for a string that is vibrating with a sixth harmonic wave pattern.

When a string (like a guitar string) vibrates with one of its harmonic frequencies, a standing wave pattern is formed in the string. Such a pattern has nodes - points that don't move - on its ends and antinodes - points that vibrate wildly from a high to a low - in between every node. There are a number of standing wave patterns that could form. In this question, you must identify the pattern associated with the sixth harmonic.

The standing wave pattern for any harmonic would contain one or more sections that appear to be vibrating up and down in the middle of the section. This middle point is called the anti-node. The first harmonic has one antinode. The second harmonic has two antinodes. The third harmonic has three antinodes. And so forth. So you need to tap through the choices until you find the pattern that has six antinodes.

Try these links to The Physics Classroom Tutorial for more help with the concept of standing wave patterns in strings:

Harmonics and Patterns

Mathematics of Standing Waves

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