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AP Physics 2
14.6 Wave Interference and Standing Waves
14.2 Periodic Waves
AdvancedMCQGraphicalMathematical19.3k
A graph of vertical displacement y in millimeters versus time t in seconds, spanning from t = 0 to t = 1.0 s. The horizontal axis is labeled 'Time t (s)' with tick marks every 0.1 s from 0.0 to 1.0. The vertical axis is labeled 'Displacement y (mm)' with tick marks at -2, 0, and 2. A beat pattern waveform starts at maximum positive displacement +2 mm at t = 0. The amplitude envelope modulates smoothly, reaching a zero-amplitude node at t = 0.25 s, a local maximum amplitude envelope of 2 mm at t = 0.50 s, another node at t = 0.75 s, and a maximum amplitude envelope of 2 mm at t = 1.00 s. Within this envelope, the fast signal oscillates with high frequency, completing exactly 10 full cycles between t = 0 and t = 1.0 s, with crests occurring every 0.10 s. No other text, lines, or labels appear.
Displacement versus time at a point on the string.
Two sinusoidal transverse waves of equal amplitude propagate in the same direction along a stretched string. A detector records the vertical displacement \(y\) of a single point on the string as a function of time \(t\), as shown in the graph. The observed waveform is the superposition of the two individual waves, where wave 1 has a higher frequency than wave 2 (\(f_1 > f_2\)). Based on the graph, what is the frequency \(f_1\) of wave 1?

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