(a)[2]
Show that the vibration of the surface has angular frequency $4.2 \times 10^{7}\,\text{rad s}^{-1}$.
(b)[2]
Determine the maximum acceleration $a_{0}$ of the surface vibration.
(c)[3]
The crystal can be treated as a single mass of $2.4 \times 10^{-4}\,\text{kg}$ oscillating as illustrated in Fig. 4.1. Calculate the total vibrational energy $E$.
(d(i))[2]
The crystal sends out ultrasound waves that are used to collect diagnostic information about internal structures. The crystal is made from piezoelectric material. Explain how the crystal is made to vibrate.
(d(ii))[3]
A parallel ultrasound beam falls on a muscle-bone boundary. Data for muscle and bone are provided. Calculate the percentage of the beam intensity that is transmitted at this boundary.