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Physics · Ch 6 — Superposition of Waves

Reflection of a Longitudinal Wave

6.3.2

Reflection of a Longitudinal Wave

The same reflection rules apply to a LONGITUDINAL wave, expressed in terms of pressure regions instead of crest/trough shape -- a compression (a locally high-pressure region) plays the role of a crest, and a rarefaction (a locally low-pressure region) plays the role of a trough.

When a longitudinal wave travels from a RARER medium to a DENSER medium, the particles of the rarer medium do not have enough energy to compress the denser medium beyond a point, so by Newton's third law an equal and opposite reaction compresses the rarer medium's own particles further instead -- the net effect is that a compression is reflected as a compression, and a rarefaction as a rarefaction: there is NO change of pressure phase on rarer-to-denser reflection. …

Figure 6.4Reflection of a longitudinal wave from a denser medium (a rigid wall) — a compression is reflected as a compression and a rarefaction as a rarefaction (no pressure-phase change)
Fig. 6.4 — Reflection of a longitudinal wave from a denser medium (a rigid wall) — a compression is reflected as a compression and a rarefaction as a rarefaction (no pressure-phase change)

Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your textbook's own diagram.

What this figure shows. A longitudinal wave (drawn as vertical lines — closely spaced for a compression C, widely spaced for a rarefaction R) travels toward a rigid wall. On reflection a compression comes back as a compression and a rarefaction as a rarefaction: there is NO change of pressure phase on reflection from a denser medium, because the …

Figure 6.5Reflection of a longitudinal wave from a rarer medium — a compression is reflected as a rarefaction and vice versa (pressure phase changes by π)
Fig. 6.5 — Reflection of a longitudinal wave from a rarer medium — a compression is reflected as a rarefaction and vice versa (pressure phase changes by π)

Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your textbook's own diagram.

What this figure shows. A longitudinal wave (incident pattern C R C R …) reaches the boundary of a rarer medium; the reflected wave has the pattern reversed (R C R C …). A compression is reflected as a rarefaction and a rarefaction as a compression — a pressure-phase chan …