The clarinet and flute are playing together. The clarinet is playing at 512 Hz a

Question

The clarinet and flute are playing together. The clarinet is playing at 512 Hz and the flute is playing at 520 Hz. What is the best frequency? Please show work
A. 8Hz B. 512 Hz C. 520 Hz Passage III ear is divided into three regions: the outer ear, the middle ear, and the inner ear. The outer ear terminates on the eardrum. Sound waves travel down the ear canal to the eardrum, which vibrates in and out in phase with the pushes and pulls caused by the alternating high and low pressures of the sound wave. The bones of the middle ear transmit the vibration to the inner ear. The cochlea of the inner ear is divided along its length by the basilar membrane, which consists of small hairs and nerve fibers. This membrane varies in mass per unit length and tension along its length, and different portions of it resonate at different frequencies. (Recall that the natural frequency of a string depends on its mass per unit length and the tension on it.) The nerve ending along the basilar membrane sense the vibrations and transmit impulses to the brain. The brain interprets the impulses as sounds of varying frequency, depending on the location along the basilar membrane. The rate at which the impulses are transmitted indicate the intensity of the sound. The first figure below is a frequency response curve for an average human ear. It shows that the decibel level at which pain is experienced does not vary greatly regardless of the frequency of the tone. Theeshald of pai Figures (a), (b), and (c) below represent the different intensity levels of a tuning fork, a flute, and a clarinet when notes are played at different frequencies. Clarine llarmowic lute Tuning fork 12 34 567S larmonics 234 5 6 Ilarmonics 1234 567 Harmonics

Explanation / Answer

beat frequency is equal to the difference of the frequencies of individual sound waves.

Therefore, beat frequency = 520-512=8 Hz

Correct option is (A)

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