What Wavelengths Create Standing Waves on a 2.0 Meter Stretched String?

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For a 2.0-meter stretched string fixed at both ends, the wavelengths that create standing waves are 2.0 meters, 1.0 meters, and 0.5 meters, as they correspond to whole number multiples of half wavelengths. A wavelength of 1.79 meters would not produce a standing wave pattern because it does not divide evenly into the string's length based on whole numbers of half wavelengths. The discussion confirms the correctness of these wavelengths for producing standing waves. Understanding the relationship between string length and wavelength is crucial for wave mechanics. This topic highlights the importance of whole number ratios in wave formation on strings.
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Homework Statement


A stretched string fixed at both ends is 2.0 meters long. What are three wavelengths that will produce waves on this string. Name at least one wavelength that would NOT produce a standing wave pattern.

Homework Equations


The Attempt at a Solution


Since standing waves have whole number amounts of half lengths I said that wavelengths of 2.0 meters, 1.0 meters and 0.5 meters would all work and said 1.79 meters would not because it is not even division based on whole numbers of half wavelengths.

Is this right or is there more to this?
 
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You are 100% correct.
 
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