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AP Physics 2
14.3 Boundary Behavior of Waves and Polarization
AdvancedMCQMathematical24.2k
A horizontal line representing wire 1 with linear mass density \mu_1 extends from the left to a central junction node labeled J. An upright triangular wave pulse labeled A_0 is drawn on wire 1, with a horizontal arrow above it pointing rightward indicating its direction of travel. At node J, the wire splits into two identical strands extending to the right at small symmetrical angles above and below the horizontal, representing wire 2 and wire 3, both labeled with linear mass density \mu_2. All three wires are depicted under tension T. No other labels, arrows, lines, or axes appear.
A pulse traveling on a wire splits at a Y-junction into two identical strands.
An incident transverse wave pulse of amplitude \(A_0\) travels to the right along a single wire with linear mass density \(\mu_1\) under tension \(T\). At a Y-junction, the wire splits into two identical output strands, each maintained under the same tension \(T\) and having linear mass density \(\mu_2\). Assuming displacement and transverse force are continuous across the junction, which of the following expressions correctly represents the amplitude \(A_r\) of the reflected pulse in terms of \(A_0\), \(\mu_1\), and \(\mu_2\)?

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