Rankers Physics

Waves and its Characteristics: Practice Problem & Solution

A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner, is $4.2 \text{ MHz}$. The speed of sound in a tissue is $1.7 \text{ km/s}$. The wavelength of sound in the tissue is close to: (1995)
$4 \times 10^{-3} \text{ m}$
$8 \times 10^{-3} \text{ m}$
$4 \times 10^{-4} \text{ m}$
$8 \times 10^{-4} \text{ m}$

Solution Explained:

To solve this problem, we apply the core principles of Waves and its Characteristics. Understanding the underlying formula is key to arriving at the correct answer below:

Wavelength $\lambda = \frac{v}{f} = \frac{1.7 \times 10^3}{4.2 \times 10^6} \approx 4 \times 10^{-4} \text{ m}$.

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