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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 $1.7 \mathrm{~km} / \mathrm{s}$ ? The operating frequency of the scanner is $4.2 \mathrm{MHz}$.
PhysicsWaves and Sound
Solution:
2396 Upvotes Verified Answer
Here, $v=1.7 \mathrm{~km} / \mathrm{s}=1700 \mathrm{~m} / \mathrm{s}, v=4.2 \mathrm{MHz}$ $=4.2 \times 10^6 \mathrm{~Hz}$
Wavelength, $\lambda=\frac{v}{v}=\frac{1700}{4.2 \times 10^6}$ $=0.405 \times 10^{-3} \mathrm{~m}=0.405 \mathrm{~mm}$

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