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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Orchestra instruments are commonly tuned to match an A-note played by the principal oboe. The Baltimore Symphony Orchestra tunes to an A-note at 440 Hz while the Boston Symphony Orchestra tunes to 442 Hz. If the speed of sound is constant at 343 m/s, find the magnitude of difference between the wavelengths of these two different A-notes.

To determine
The magnitude of difference between the wavelengths of two different A-notes of Baltimore Symphony Orchestra and Boston Symphony Orchestra.

Explanation

Given info: The Baltimore Symphony Orchestra tunes to an A-note at 440 Hz. The Boston Symphony Orchestra tunes to 442 Hz. The speed of sound is constant at 343ms-1 .

The difference in their wavelength is,

Δλ=λ440λ442

  • λ440 is the wavelength of A-note of Baltimore Symphony Orchestra
  • λ442 is the wavelength of A-note of Boston Symphony Orchestra

Wavelength of a wave is defined by,

λ=vf

  • v Is the velocity of the wave
  • f is the frequency of the wave

The difference in their wavelength is,

|Δλ</

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