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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.

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