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

Production and use of ultrasound — practice question

(a(i))[1]

State what the acoustic impedance of a medium means.

(a(ii))[1]

The data for some media are shown in Fig. 10.1. Use the information in Fig. 10.1 to calculate the density of bone.

(b(i))[1]

A parallel ultrasound beam of intensity $I$ is incident normally on a boundary between two media. The media have acoustic impedances $Z_1$ and $Z_2$. The transmitted intensity is $I_T$ and the reflected intensity is $I_R$. State the relationship between $I$, $I_T$ and $I_R$.

(b(ii).1)[2]

The reflection coefficient $\alpha$ is defined by $\alpha = \frac{(Z_2 - Z_1)^2}{(Z_2 + Z_1)^2}$. Use the data in Fig. 10.1 to find the reflection coefficient $\alpha$ for the boundary between gel and soft tissue.

(b(ii).2)[1]

Use the information in Fig. 10.1 to find the reflection coefficient $\alpha$ for a boundary between air and soft tissue.

(c)[3]

Using your answers in (b)(ii), explain why gel is applied to the skin surface during ultrasound diagnosis.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Impedance is proportional to density multiplied by wave speed

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