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Question

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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Solution

Given: The speed of sound in a tissue is 1.7 km/s and the operating frequency of the scanner is 4.2MHz.

The wavelength of sound is given as,

λ= v f

where, v is the speed of sound in a tissue and fis the operating frequency of the scanner.

By substituting the given values in the above equation, we get

λ= 1.7×( 10 3 m/s 1 km/s ) 4.2×( 10 6 Hz 1MHz ) =4.1× 10 4 m

Thus, the wavelength of sound in the tissue is 4.1× 10 4 m.


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