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  Unit 3
Questions 13 - 17


Ultrasound is now one of the key methods used in medicine for exploring the internal structure of the body. Medical ultrasonics works by sending pulses of ultrasound into the body and then monitoring the returning echoes from different boundaries within the body.

This principle relies on a particular property of the different tissues in the body called the specific acoustic impedance. This can be calculated for a material by multiplying the speed of sound in the material by the density of the material. When ultrasound reaches a boundary between tissues with two different specific acoustic impedances a small proportion of the ultrasound is reflected. This reflection is then analysed to produce an image. The following table gives some specific acoustic impedances

Tissue or Medium Specific acoustic impedance
Air 0.00044 x 106
Fat 1.38 x 106
Water 1.5 x 106
Brain 1.58 x 106
Blood 1.59 x 106
Muscle 1.6 x 106
Bone 6 x 106


Question 13
What are the units of specific acoustic impedance

A kgm3s-1
B kgm-2s-1
C kgm-3s-1
D kgm2s-1


Question 14
The strength of the reflection at a boundary is primarily determined by the difference in acoustic impedances, the greater the difference the stronger the signal. For which of the following boundaries would the strongest reflection be seen

A brain-blood
B water-brain
C blood-bone
D fat-blood

In fact the ratio of the sound intensity reflected Ir to the sound intensity initially falling on the boundary Ii is termed the intensity reflection coefficient a. This value depends on the two specific acoustic impedances of the materials Z1 and Z2. It is given as

a = Ir / Ii = (Z2-Z1)2 / (Z2+Z1)2


Question 15
For the boundary between blood and muscle a would have a value of roughly

A 1.1 x 103
B 11
C 1.1 x 10-3
D 1.1 x 10-6


Question 16
And a will have a value closest to 1 for which of the following boundaries

A water-brain
B blood-muscle
C water-muscle
D blood-bone


Question 17
The speed of ultrasound in the tissues mentioned is generally around 1500ms-1. The frequency used is of the order of 2MHz. What would be the wavelength of these sound waves

A 7.5 mm
B 4.5 x 10-2mm
C 4.5 x 10-6mm
D 7.5 x 10-8mm


SECTION ANSWERS