AP Physics 2
14.6 Wave Interference and Standing Waves
14.2 Periodic Waves
Four strings, labeled W, X, Y, and Z, are fixed at both ends and driven by mechanical oscillators such that each string vibrates in a standing wave pattern at the same constant frequency \(f_0\). The properties of each string and the harmonic number \(n\) of its standing wave are shown in the table below.
Which of the following correctly ranks the tensions \(T_W\), \(T_X\), \(T_Y\), and \(T_Z\) in the strings?
| String | Length | Linear Mass Density | Harmonic Number (\(n\)) |
|---|---|---|---|
| W | \(L_0\) | \(4\mu_0\) | 2 |
| X | \(2L_0\) | \(\mu_0\) | 2 |
| Y | \(2L_0\) | \(3\mu_0\) | 1 |
| Z | \(3L_0\) | \(2\mu_0\) | 3 |
Which of the following correctly ranks the tensions \(T_W\), \(T_X\), \(T_Y\), and \(T_Z\) in the strings?
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