Asked in MDCAT Test Series 50 — Waves

A sound wave with a frequency of 343 Hz travels through the air. What is its wavelength? (speed of sound through air = 343 m/s)

Correct answer: A. 1m

  • A. 1m
  • B. 2m
  • C. 3m
  • D. 4m
  • E. 5m

Explanation

λ The speed of a wave v is related to its frequency f and wavelength λ by the formula: v = fλIn this case, the speed of sound v through the air is given as 343 m/s, and the frequency f of the sound wave is also 343 Hz. We can rearrange the formula to solve for the wavelength λλ= v/fSubstitute the given values:λ= 343/343λ= 1m So, the wavelength of the sound wave is 1 meter.

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About Waves

Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.

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