Which of the following statements characterizing types of waves are true?

(a) Mechanical waves require a medium through which to propagate.

(b) Mechanical waves can be either longitudinal, transverse, or some combination of the two

(c) The displacement of particles in a transverse wave is along the axis of the wave propagation.

(d) Wavelength is used to characterize transverse waves, but not longitudinal waves

a and b.

Explanation:

In general types of wave

1. Transverse wave:

In these waves particle are vibrate perpendicular to motion of waves.

Ex : Electromagnetic wave, Radio wave.

2. Longitudinal wave:

In these waves particle are vibrate along the motion of waves.

Ex : Sound wave

Mechanical wave:

1. These are transverse wave or Longitudinal wave or combination of them.

2. These waves required medium for propagation.

3. The particle are vibrate perpendicular to motion of waves.

So the option a and b are correct.