a) Give the equation relating the acoustic impedance of a medium Z to its density p and the speed of sound/ultrasound in that medium c. b) The following table gives the density of some different media and the speed of ultrasound through them. Medium Density / kg m3 Ultrasound velocity/m s1 Air 1.3 330 Fat 925 1450 Muscle 1075 1590 Bone 1650 4080 (Z,-Z,)² a = %3D (Z,+Z,)2 Use this information and the above equation to calculate the ratio a of the reflected ultrasound intensity I, to the incident intensity I at the interface between i) air and fat ii) fat and muscle iii) fat and bone

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a) Give the equation relating the acoustic impedance of a medium Z to its density p and the speed of
sound/ultrasound in that medium c.
b) The following table gives the density of some different media and the speed of ultrasound through
them.
Medium
Density / kg m3
Ultrasound velocity/m s1
Air
1.3
330
Fat
925
1450
Muscle
1075
1590
Bone
1650
4080
(Z2-Z,)2
(Z2+Z1)²
%3D
Use this information and the above equation to calculate the ratio a of the reflected ultrasound intensity
I, to the incident intensity I, at the interface between
i) air and fat
ii) fat and muscle
iii) fat and bone
Transcribed Image Text:Question 2 a) Give the equation relating the acoustic impedance of a medium Z to its density p and the speed of sound/ultrasound in that medium c. b) The following table gives the density of some different media and the speed of ultrasound through them. Medium Density / kg m3 Ultrasound velocity/m s1 Air 1.3 330 Fat 925 1450 Muscle 1075 1590 Bone 1650 4080 (Z2-Z,)2 (Z2+Z1)² %3D Use this information and the above equation to calculate the ratio a of the reflected ultrasound intensity I, to the incident intensity I, at the interface between i) air and fat ii) fat and muscle iii) fat and bone
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