Posted by Physics on Sunday, May 24, 2009 at 8:43am.
The string has to have an integral number of half-wavelengths for standing waves to occur. Suitable wavelengths would be 4.0 m, 2.0 m and 1.33 m, 1.0 mand higher harmonics.
Any wavelength between those values would not work.
For a more detailed explanation, see
http://hep.physics.indiana.edu/~rickv/Standing_Waves_on_String.html
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