The pressure, p of the ultrasound wave at a particular point in the z direction is given by: p = pcu̟ where p is the tissue density, c is sound velocity, and u, is the particle velocity in z direction. (i) If the value of c depends on p and compressibility, x, define pressure, p in terms of compressibility, k. Based on the answer in Q2(b)(i), analyse the relation between rigidness of tissue and effect on pressure. (ii)
The pressure, p of the ultrasound wave at a particular point in the z direction is given by: p = pcu̟ where p is the tissue density, c is sound velocity, and u, is the particle velocity in z direction. (i) If the value of c depends on p and compressibility, x, define pressure, p in terms of compressibility, k. Based on the answer in Q2(b)(i), analyse the relation between rigidness of tissue and effect on pressure. (ii)
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![### Ultrasound Wave Pressure Analysis
**(b)** The pressure \( p \) of the ultrasound wave at a particular point in the \( z \) direction is defined by the equation:
\[ p = \rho c u_z \]
where:
- \( \rho \) is the tissue density,
- \( c \) is the sound velocity,
- \( u_z \) is the particle velocity in the \( z \) direction.
**(i)** If the value of \( c \) depends on \( \rho \) and compressibility, \( \kappa \), define pressure, \( p \), in terms of compressibility, \( \kappa \).
**(ii)** Based on the answer in Q2(b)(i), analyze the relation between the rigidity of tissue and its effect on pressure.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60fda795-0dda-416b-9929-fe2133668991%2F97bf9dde-c189-4baf-90be-241396987be6%2Ffod61o4_processed.png&w=3840&q=75)
Transcribed Image Text:### Ultrasound Wave Pressure Analysis
**(b)** The pressure \( p \) of the ultrasound wave at a particular point in the \( z \) direction is defined by the equation:
\[ p = \rho c u_z \]
where:
- \( \rho \) is the tissue density,
- \( c \) is the sound velocity,
- \( u_z \) is the particle velocity in the \( z \) direction.
**(i)** If the value of \( c \) depends on \( \rho \) and compressibility, \( \kappa \), define pressure, \( p \), in terms of compressibility, \( \kappa \).
**(ii)** Based on the answer in Q2(b)(i), analyze the relation between the rigidity of tissue and its effect on pressure.
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