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Alice holds a small battery operated device used for tuning instruments that emi

ID: 1528059 • Letter: A

Question

Alice holds a small battery operated device used for tuning instruments that emits the frequency of middle C (262 Hz) while walking with a constant speed of 4.13 m/s toward a building which presents a hard smooth surface and hence reflects sound well. (Use 343 m/s as the speed of sound in air.) Determine the beat frequency Alice observes between the device and its echo. (Enter your answer to at least 1 decimal place.) Hz Determine how fast Alice must walk away from the building In order to observe a beat frequency of 4.99 Hz. m/s

Explanation / Answer

STEP;1

Given that

frequency f=262 Hz

speed V=4.13 Hz

step;2

now we find the wavelength

wavelength =4.13/262=1.6 m

now we find the beats frequency

beat frequency fb=343/1.6=214.4 Hz

step;4

now we find the speed of the alice

speed =1.6*4.99=7.984 m/s

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