Final answer:
The ultrasonic method used when the transducer is in direct contact with material can be shear wave, longitudinal wave, transverse wave, or angle beam technique, depending on the technique and angle of incidence.
Step-by-step explanation:
When the ultrasonic transducer or probe is in direct contact with the material under test, the ultrasonic method could potentially be any of the listed options, which include shear waves, longitudinal waves, transverse waves, or angle beam technique. The classification depends on the specific technique and angle of incidence being used. For example, in longitudinal wave method, waves move in the same direction as the particle displacement. The shear wave and transverse wave methods involve waves that move perpendicular to the direction of particle displacement. The angle beam technique is often used to introduce shear waves at an angle into the material for certain types of examinations.