A hospital uses an ultrasonic scanner to locate tumours in a tissue. What is the wavelength of sound in the tissue in which the speed of sound is $1.7\; km s ^{-1}$ ? The operating frequency of the scanner is $4.2 \;MHz$
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Speed of sound in the tissue, $v=1.7 \,km / s =1.7 \times 10^{3} \,m / s$
Operating frequency of the scanner, $v=4.2\, MHz =4.2 \times 10^{6} \,Hz$
The wavelength of sound in the tissue is given as
$\lambda=\frac{v}{v}$
$=\frac{1.7 \times 10^{3}}{4.2 \times 10^{6}}=4.1 \times 10^{-4} \;m$
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