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AP Physics 2
14.6 Wave Interference and Standing Waves
14.2 Periodic Waves
AdvancedMCQMathematicalProportional Analysis15.7k
Two horizontal parallel line segments of equal length are aligned vertically, representing two vibrating strings labeled String 1 (top) and String 2 (bottom). Both strings are anchored at both ends to thick vertical black bars representing rigid supports. On the right side of String 1, a horizontal arrow pointing right is labeled T_1 = T_0. On the right side of String 2, a horizontal arrow pointing right is labeled T_2 = 1.21 T_0. Above the top string, text reads L and \mu. Below the bottom string, text reads L and \mu. No other labels, lines, text, or axes appear.
Two identical strings under different initial tensions fixed at both ends.
Two identical musical strings, 1 and 2, have the same length and linear mass density. String 1 is initially under tension \(T_1 = T_0\) and String 2 is under tension \(T_2 = 1.21 T_0\). When both strings vibrate simultaneously in their fundamental mode, a beat frequency of \(4.0\text{ Hz}\) is heard. The tension in String 1 is then increased to \(T_1' = 1.69 T_0\) while the tension in String 2 remains unchanged. What is the new beat frequency heard when both strings vibrate in their fundamental mode?

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