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Problem 16.73 A person leaning over a 134m -deep well accidentally drops a siren

ID: 2283492 • Letter: P

Question

Problem 16.73

A person leaning over a 134m -deep well accidentally drops a siren emitting sound of frequency 2460Hz . Just before this siren hits the bottom of the well, find the frequency and wavelength of the sound the person hears

part A

Just before this siren hits the bottom of the well, find the frequency of the sound the person hears coming directly from the siren.

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Part B

Just before this siren hits the bottom of the well, find the wavelength of the sound the person hears coming directly from the siren.

Part C

Just before this siren hits the bottom of the well, find the frequency of the sound the person hears reflected off the bottom of the well.

Part D

Just before this siren hits the bottom of the well, find wavelength of the sound the person hears reflected off the bottom of the well.

Part E

What beat frequency does this person perceive?

f1 =   Hz  

Explanation / Answer

A) speed = sqrt (2gh) =sqrt(2*9.8*134) = 51.248 m/s

freq = 2460/(1 + 51.248/334) = 2132.75 Hz Ans.

B)wavelength = velocity/ frequency = 334/2132.75 = 0.1566 m Ans.

C)freq = 2460/(1 - 51.248/334) = 2905.86 Hz Ans.


D) wavelenth = 334/2905.86 = 0.1149 m Ans.


E) beat freq = 2905.86 - 2132.75 = 773.11 Hz Ans.