The wave equation · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.
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Speed equals frequency times wavelength

Science · Waves, Light & Sound · ages 15-16
Name ______________________   Date ____________
  1. What does frequency count?

    • The greatest displacement from rest
    • Complete wave cycles passing per second
    • The material's flow distance per second
  2. Which is the wave equation?

    • Speed equals frequency times wavelength
    • Speed equals frequency plus wavelength
    • Speed equals wavelength over period squared
  3. Sound can travel across a vacuum.

    Circle one:   True   False

  4. A timer starts at crest zero and stops at the tenth following crest. These ten complete intervals take 5 seconds. Find the frequency in Hz.

    Answer: ______________

  5. A 500 Hz sound moves at 340 m/s. What is its wavelength?

    • 0.68 m
    • 1.47 m
    • 170000 m
  6. A wave has frequency 4 Hz. What is its period in seconds?

    Answer: ______________

  7. A reflector is 85 m away. The time from a clap to its echo is 0.5 s. Which calculation gives sound speed?

    • 85 ÷ 0.5 = 170 m/s
    • 170 ÷ 0.5 = 340 m/s
    • 170 × 0.5 = 85 m/s
  8. Sound speed stays at 340 m/s while a tone changes from 170 Hz to 340 Hz. What happens to its wavelength?

    • It doubles from 2 m to 4 m
    • It stays at a wavelength of 2 m
    • It halves from 2 m to 1 m
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Answer key

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Speed equals frequency times wavelength W1-mt_wmKhTiXt1p-s1

  1. Complete wave cycles passing per second · Frequency is a complete-cycle count divided by elapsed time, expressed in cycles per second or hertz.
  2. Speed equals frequency times wavelength · The wave equation is v = fλ: frequency multiplied by wavelength gives speed.
  3. False · Sound is a mechanical disturbance and needs a material medium. A vacuum provides none.
  4. 2 · Ten complete cycles take five seconds, so f = 10 ÷ 5 = 2 Hz.
  5. 0.68 m · λ = v ÷ f = 340 ÷ 500 = 0.68 m.
  6. 0.25 · T = 1 ÷ f = 1 ÷ 4 = 0.25 s.
  7. 170 ÷ 0.5 = 340 m/s · The sound travels 85 m out and 85 m back. Divide the total 170 m by 0.5 s to get 340 m/s.
  8. It halves from 2 m to 1 m · At the stated speed, the wavelengths are 340 ÷ 170 = 2 m and 340 ÷ 340 = 1 m.
Worksheet · LightMySky