An alternative way to organise this is a simple presence/absence table of which component each surface wave type populates, since Love and Rayleigh waves are built from mutually exclusive polarisations of body-wave energy (SH for Love; P + SV for Rayleigh):
| Component | Love (L) wave | Rayleigh (R) wave |
|---|---|---|
| Radial (horizontal, along propagation) | 0 (absent) | present, moderate |
| Transverse (horizontal, perpendicular) | largest / only motion | 0 (absent) |
| Vertical | 0 (absent) | largest, dominant |
Reading the table option by option:
(A) claims radial is largest for BOTH -- fails immediately since Love's radial entry is zero.
(B) claims transverse is largest for L and smallest for R -- matches the table exactly (largest/only for L, zero i.e. smallest for R). CORRECT.
(C) claims vertical is largest for L and smallest for R -- the table shows the opposite (vertical is zero for L, largest for R), so this is wrong.
(D) claims vertical is largest for R wave only -- the table confirms vertical is Rayleigh's dominant component and is exactly zero for Love, so "R wave only" is accurate. CORRECT.
The mutually-exclusive-polarisation table format makes it immediate that (B) and (D) are the two internally consistent statements, while (A) and (C) each swap a role between the two wave types.
\(\boxed{\text{Answer: (B), (D)}}\)