The 8 cm span covers two consecutive wavelengths, giving a wavelength of 4 cm or 0.04 m. Dividing the speed of 340 m s⁻¹ by 0.04 m yields 8500 Hz.
Chapter 10 Sound Waves Characteristics and Applications Solutions
Sound Waves Characteristics and Applications Exercise Solutions
(i) Wavelength: The marked distance of 8 cm spans across two full compression-to-compression cycles, meaning two wavelengths equal 8 cm. Thus, the wavelength is 4 cm, which equals 0.04 m. (ii) Frequency: Using the wave relation where frequency equals speed divided by wavelength, dividing 340 m s⁻¹ by 0.04 m gives a frequency of 8500 Hz (or 8.5 kHz).
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