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Chapter 2: Q81PP (page 543)

For cranial ultrasound, why is it advantageous to use frequencies in the kHz range rather than the MHz range?

Short Answer

Expert verified

The correct option is there will be no standing waves at the lower frequencies.

Step by step solution

01

Nodes and Antinodes

The antinodes are formed at points of constructive interference and the nodes are formed at points of destructive interference.

The distance between the node is related to the wavelength as

d=nλ2=nv2f

02

calculation

As shown by this equation, the distance d is inversely proportional to the frequencyf . So, as fdecreases, the distance increases and vice versa. Therefore, forming waves larger than 0.77mm is difficult. So, using 1kHZfrequencies is better than using 1MHz.

Hence, there will be no standing waves at the lower frequencies.

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