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  4. A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is 4.2 MHz. The speed of sound in a tissue is 1.7 km / s. The wavelength of sound in the tissue is close to

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Q. A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is $4.2\, MHz$. The speed of sound in a tissue is $1.7 \,km / s$. The wavelength of sound in the tissue is close to

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Solution:

Frequency $(v)=4.2 MHz =4.2 \times 10^{6} Hz$
and speed of sound $(v)=1.7 km / s =1.7 \times 10^{3} m / s$.
Wave length of sound in tissue $(\lambda)=\frac{v}{v}=\frac{1.7 \times 10^{3}}{4.2 \times 10^{6}}$ $=4 \times 10^{-4} m$.