A) Blue whales apparently communicate with each other using sound of frequency 1

Question

A) Blue whales apparently communicate with each other using sound of frequency 17.0Hz , which can be heard nearly 1000km away in the ocean. What is the wavelength of such a sound in seawater, where the speed of sound is 1521m/s?

B) One type of sound that dolphins emit is a sharp click of wavelength 1.50cm in the ocean. What is the frequency of such clicks?

C) One brand of dog whistles claims a frequency of 26.0kHz for its product. What is the wavelength of this sound?

D) While bats emit a wide variety of sounds, one type emits pulses of sound having a frequency between 39.0kHz and 78.0kHz . What is the range of wavelengths of this sound?

E) Ultrasound is used to view the interior of the body, much as x rays are utilized. For sharp imagery, the wavelength of the sound should be around one-fourth (or less) the size of the objects to be viewed. Approximately what frequency of sound is needed to produce a clear image of a tumor that is 1.00mm across if the speed of sound in the tissue is 1550m/s?

Explanation / Answer

(a) ?=v/f = 1521/17= 89.47[m]

(b) f=v/? 1521/1.5*10^-2= 101400[Hz]

(c) as v=340m/s ?=v/f = 340/26*10^3= 0.0014.1[m] = 1.4144[cm]

(d) as v=340m/s ?=v/f = 340/39k= 8.72[mm] ?=v/f = 340/78k= 4.36[mm]

(e) ?= 1/4= 0.25*10^-3 f=v/? = 1550/0.25*10^-3= 6200*10^3= 6.2[MHz]

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