Question

I don't know how to answer this questin i guess I don't understand the definition

A streteched sgtring fized at both ends is 2.0 m long. What are three wavelengths that will poduce standing waves on the string? Name at least one wavelenght that would not produce a standing wave pattern, and explain your answer.

Standing wave - a wave pattern tha results when two waves of the same frequencty, wavelenght, and amplitude travel in opposite directions and interference.

Answer 1

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