Provided the amplitude is sufficiently great, the human ear can respond to longi

Question

Provided the amplitude is sufficiently great, the human ear can respond to longitudinal waves over a range of frequencies from about 20.0 Hz to about 20.0 kHz.

(a) If you were to mark the beginning of each complete wave pattern with a red dot for the long-wavelength sound and a blue dot for the short-wavelength sound, how far apart would the red dots be?
m

How far apart would the blue dots be?
cm

(b) In reality would adjacent dots in each set be far enough apart for you to easily measure their separation with a meterstick?

Yes or No     

(c) Suppose you repeated part (a) in water, where sound travels at 1480 m/s. How far apart would the red dots be?
m

How far apart would the blue dots be?
cm

Could you readily measure their separation with a meterstick?

Yes or No

Explanation / Answer

(a) speed of sound = 343.2 m/s

we know ,

v= f * lambda

now , for frequencies 20 hZ = lambda= 343.2 / 20 = 17.16m ( red dot distance)

for frequencies of 20 KHz = 343.2/ 20,000= 0.0176 m ( blue dot distance)

b) yes , it can be measured

c) speed of sound = 1480 m/s

now , for frequencies 20 hZ = lambda= 1480 / 20 = 74m ( red dot distance)

for frequencies of 20 KHz = 1480 / 20,000= 0.074( blue dot distance)

well a metre sitck can measure 74 m , although it will be tim consuming

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