The diagram shows the wave fronts created by a sound source moving to the right. The waves that precedethe source have a wavelength (A. 1 ) of 1.40 m, while those that trail the source have a wavelength (A 2 ) of 1.80m. If the speed of sound in air is 326 m/s, what is the true frequency of the source?a. 197 Hz c. 233 Hzb. 181 Hz d. 204 Hz
Question
The diagram shows the wave fronts created by a sound source moving to the right. The waves that precedethe source have a wavelength (A. 1 ) of 1.40 m, while those that trail the source have a wavelength (A 2 ) of 1.80m. If the speed of sound in air is 326 m/s, what is the true frequency of the source?a. 197 Hz c. 233 Hzb. 181 Hz d. 204 Hz
Solution
To solve this problem, we need to use the formula for the speed of sound, which is v = fλ, where v is the speed of sound, f is the frequency, and λ is the wavelength.
Given that the speed of sound in air is 326 m/s, and the wavelength of the sound waves that precede the source is 1.40 m, we can rearrange the formula to solve for the frequency: f = v / λ.
Substituting the given values, we get: f = 326 m/s / 1.40 m = 233 Hz.
Therefore, the true frequency of the source is 233 Hz, which corresponds to option c.
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