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A sound wave has a trequency of 1.57E3 Hz The air temperature is 25oc. hat is th

ID: 306903 • Letter: A

Question

A sound wave has a trequency of 1.57E3 Hz The air temperature is 25oc. hat is the speed? sound? Number Number Units What is the wavelength of the Units. Two speakers are both emiting sounds, the first with an intensity Neves of 1 x 1010 w Number and the second with an intensity of 1 x10* wim What is the sound level intesity of the trst Units Units What is the difference in the sound level intensities of the two sounds? Number A point source of a wave omits 171 watts At a diotance of 6 40 moters ds intensity is Number Units watts/m and the other 470 10 watts/im2 What is the difference in their sound intensity Two speakers emit sounds, the one with an intensity of 8 40 10 levels? Number Units

Explanation / Answer

1. Speed = 346 m/s ......Ans

wavelength = v / f = (346 m/s) / (1.57 x 10^3 Hz)

=0.220 m .....Ans

2. Sound Level = 10 log(I/I0)

SL1 = 10 log(1 x 10^-1 / 10^-12) = 110 dB .....Ans

SL2 = 10log(1 x 10^-3.20 / 10^-12) = 88 dB  


Sound level difference = SL1 - SL2

= 22 dB .....Ans


3. P = 171 W

r = 6.40 m

I = P / (4 pi r^2) = 0.332 W/m^2


4. delta(SL) = 10 log[(8.40 x 10^-7) / (4.70 x 10^-6)]

= 2.5 dB  

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