5. Show the superposition of these two waves between times 0.2 s and 0.7 s. 1.5

Question

5. Show the superposition of these two waves between times 0.2 s and 0.7 s. 1.5 0.5 0.3 0.2 ×0.3 0.4 0.6 0.7 ×0.8 0.9 ?X 0.5 -2.5 A device utilizing ultrasound generates a sound wave with frequency of 5.0x106 Hz. The device sends brief sound pulses through the body tissue. Measurements of the resultant echoes are used to produce an image (sonogram) of a person's abdomen. The speed of sound in the body is 1540m/s. 6. a. What is the wavelength of the ultrasonic wave used by this device? b. Following a single pulse, 9.5 x 10-6 seconds later the monitor detects the echo. How deep in the tissue is the object/interface that produced the echo located?

Explanation / Answer

6)Given,

f = 5 x 10^6 Hz ; v = 1540 m/s

a)We know that,

v = f lambda

lambda = v/f

lambda = 1540/(5 x 10^6) = 3.08 x 10^-4 m

Hence, lambda = 3.08 x 10^-4 m

b)t = 9.5 x 10^-6 s

we know that,

v = d/t => d = vt

but since its a echo, distance travelled by the wave is double

d = vt/2 = 1540 x 9.5 x 10^-6/2 = 7.32 x 10^-3 m

Hence, d = 7.32 x 10^-3 m

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