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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 tissue is close to

1. 4×10⁻⁴ m
2. 8×10⁻⁴ m
3. 4×10⁻³ m
4. 8×10⁻³ m

Correct answer: 4×10⁻⁴ m

Solution

The wavelength of sound is given by λ = v/f, where v is the speed of sound and f is the frequency. Substituting v = 1.7 × 10³ m/s and f = 4.2 × 10⁶ Hz, we get λ = (1.7 × 10³) / (4.2 × 10⁶) = 4 × 10⁻⁴ m.

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