Wave Properties

Learn the models, terms, and applications of wave properties.

Lesson 1 of 32 parts Practice Flashcards

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Wavelength, Frequency, Period, and Amplitude

Objective: Calculate wave quantities with proper units.

Wavelength λ is spatial separation between equivalent neighboring points of a periodic wave, measured in meters. Frequency f counts cycles per second in hertz (Hz = s⁻¹), and period T is time per cycle, T = 1/f. Amplitude is the maximum displacement or change in the modeled oscillating quantity relative to equilibrium; its unit depends on what oscillates. For a periodic wave of fixed speed v, v = fλ. A 4 Hz wave with wavelength 2 m moves at 8 m/s. Frequency is set by the source in many boundary transitions while wavelength can change with speed. Amplitude and frequency describe different features; doubling amplitude does not automatically double frequency.

Worked examples

Try itA wave has f = 4 Hz and λ = 2 m. What is its speed?Show answer

1. Identify the relevant concept in this section. 2. v = fλ = 4 × 2 = 8 m/s. 3. Answer: 8 m/s

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Wavelength, Frequency, Period, and Amplitude

Objective: Calculate wave quantities with proper units.

Worked examples

Try itA wave has f = 4 Hz and λ = 2 m. What is its speed?Show answer

1. Identify the relevant concept in this section. 2. v = fλ = 4 × 2 = 8 m/s. 3. Answer: 8 m/s

Applications and Worked Problems

Objective: Apply wave properties to calculations, evidence, and specified situations.

Wave speed, frequency, and wavelength are related by v=fλ for a periodic wave. Period is T=1/f. Amplitude is maximum disturbance from equilibrium, not crest-to-trough separation. The medium and conditions determine speed in common introductory settings, while the source sets frequency. A wave transports energy; material particles in a mechanical wave need not travel with the disturbance. Use Hz as s⁻¹ and match length/time units.

Formulas

$v=fλ$
$T=1/f$

Worked examples

Try itA wave travels at 220 m/s with frequency 30 Hz. Find wavelength.Show answer

1. v=fλ. 2. λ=220/30=7.333 m.

Try itA wave has frequency 30 Hz. Find period.Show answer

1. T=1/f. 2. 1/30=0.03333 s.

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