Physics 9702 · AS & A Level · Production and use of ultrasound

Production and use of ultrasound — practice question

(a)[2]

State what the specific acoustic impedance of a medium means.

(b(i))[3]

A bone sample has density $1.7 \times 10^{3}\,\text{kg m}^{-3}$. Find the wavelength, in $\text{mm}$, of ultrasound with frequency $9.0 \times 10^{5}\,\text{Hz}$ in the bone.

(b(ii))[4]

An ultrasound beam of intensity $I$ is incident normally on the boundary between two media with specific acoustic impedances $Z_{1}$ and $Z_{2}$, as shown in Fig. 10.2. The reflected ultrasound has intensity $I_{R}$. The ratio $\dfrac{I_{R}}{I}$ is given by $\dfrac{I_{R}}{I} = \dfrac{(Z_{1} - Z_{2})^{2}}{(Z_{1} + Z_{2})^{2}}$. Using the data for air, gel and soft tissue, explain quantitatively why gel is normally placed on the skin during medical ultrasound diagnosis.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Specific acoustic impedance is the product of the medium’s density and the speed of ultrasound in that medium.

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