the problem given on the site and the problem in my book don\'tmatch exactly...
ID: 1739280 • Letter: T
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the problem given on the site and the problem in my book don'tmatch exactly... Two out-of-tune flutes play the same note. One produces a tonethat has a frequency of 247 Hz, while the other produces 282 Hz.When a tuning fork is sounded together with the 247-Hz tone, a beatfrequency of 14.0 Hz is produced. When the same tuning fork issounded together with the 282-Hz tone, a beat frequency of 21.0 Hzis produced. What is the frequency of the tuning fork? Two out-of-tune flutes play the same note. One produces a tonethat has a frequency of 247 Hz, while the other produces 282 Hz.When a tuning fork is sounded together with the 247-Hz tone, a beatfrequency of 14.0 Hz is produced. When the same tuning fork issounded together with the 282-Hz tone, a beat frequency of 21.0 Hzis produced. What is the frequency of the tuning fork?Explanation / Answer
Given that frequency of the flutes is f1 = 247 Hz , f2 =282 Hz ---------------------------------------------------------------------- Let one toneof frequency f produces beat frequency with the flute f1is 14.0 Hz then f = f1± 14.0 Hz f = 247 Hz ± 14.0Hz =261 Hz ( or ) 233 Hz Let toneof frequency f produces beat frequency with the flute f2is 21.0 Hz then f = f2± 21.0 Hz f = 282 Hz ± 21.0Hz =261 Hz ( or ) 303 Hz In the two cases thecommom frequency is 261 Hz Hencethe required frequency of the tone is 261 Hz then f = f2± 21.0 Hz f = 282 Hz ± 21.0Hz =261 Hz ( or ) 303 Hz In the two cases thecommom frequency is 261 Hz Hencethe required frequency of the tone is 261 HzRelated Questions
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