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 1.7km/s and the operating frequency of the scanner is 4.2MHz.
The wavelength of sound is given as,
λ=vf
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×(103m/s1km/s)4.2×(106Hz1MHz)=4.1×10−4m
Thus, the wavelength of sound in the tissue is 4.1×10−4m.