A compound string is made by fusing together two wires of equal length and radius, but...

A compound string is made by fusing together two wires of equal length and radius, but different materials: A and B. The mass density of material A is 9 times the mass density of material B. Under some unknown tension, the compound string is driven at increasing frequencies. At some unknown frequency, a standing wave is established with nodes at the ends of the compound string and at the interface between the two materials.
1. Given that the tension is constant through the string, how do the wave speeds of waves in the two materials compare? Explain your answer.
2. Given that the frequency is also constant through the string, how will the wavelength in material A compare to the wavelength in material B?
3. Considering what you now know about the wavelengths in the two materials, draw what this standing wave pattern might look like.
  Hints: There may be more nodes than those specified above, but those nodes specified above must be present. The slope of the string should not be discontinuous at the interface:

Expert Solution

genius_generous answered 2 years ago

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