← Oscillations and wave anatomy

Spot the flawed wave diagram

A study-guide page shows a labeled wave diagram, and something about it is wrong. Beata's job is not to draw; it is to audit: find the mislabeled feature and say the fix.

Every label on a wave diagram has a definition to answer to. The audit walks the labels one by one and checks each against its definition.

Audit in a fixed order: rest line, crests, troughs, amplitude, wavelength.

The rest line must run through the middle of the swings, where the medium would sit undisturbed.

Each crest label must sit at a highest point above the rest line; each trough label at a lowest point below it.

The amplitude arrow must run from the rest line to a crest top. An arrow from a crest top to a trough bottom is the classic flaw: it spans twice the amplitude.

rest positioncresttroughamplitudeone wavelength
One of these labels fails its definition. The audit order finds it: the arrow labeled amplitude spans crest to trough.
rest positioncresttroughamplitudeone wavelength
The fix: the amplitude arrow runs from the rest line to the crest top, half the flawed arrow's length.

The wavelength bracket must join two successive identical points: crest to next crest, or trough to next trough. A bracket from a crest to the very next trough spans only half a wavelength.

rest positioncresttroughamplitudeone wavelength
A second audit: the bracket labeled one wavelength spans a crest to the very next trough, only half the repeat. The fix extends it to the next crest.

Name the flawed label, then state the fix in the definition's own words.

One flaw per audit here; a clean label is part of the answer too, so confirm the sound ones.

The audit ordercheckagainstthe rest lineruns through the middle of the swingscrest and trough labelshighest above the rest line, lowest below itthe amplitude arrowrest line to a crest topthe wavelength brackettwo successive identical points
Walk the labels in this order; name the flaw, then state the fix in the definition's own words.

A diagram's amplitude arrow runs from a crest top straight down to the trough bottom. Name the flaw and the fix.

The amplitude is the maximum displacement from the rest position, measured rest line to crest.

This arrow spans crest to trough: twice the amplitude.

Flaw: the amplitude arrow spans crest to trough. Fix: redraw it from the rest line to the crest top; its length halves.

A diagram's wavelength bracket runs from one crest top to the very next trough bottom. Name the flaw and the fix.

One wavelength joins two successive identical points.

A crest and the next trough are not identical points: that span is half a wavelength.

Flaw: the bracket spans half a wavelength. Fix: extend it from the crest to the NEXT CREST.

In the diagram, one label fails its definition. Which label is it?

cresttroughamplitude

A flawed diagram's arrow, labeled amplitude, runs from a crest top to the trough bottom and measures 8 cm. Enter the wave's actual amplitude in cm.

Cosmo audits a diagram whose wavelength bracket runs from one crest top to the next crest top. He says: 'That bracket fits its definition, so the wavelength label is correct.' Is Cosmo correct?

Your turn

In a flawed diagram, the bracket labeled one wavelength runs from a crest top to the very next trough bottom. Which correction fixes the diagram?

A flawed diagram's arrow, labeled amplitude, spans from a crest top to the trough bottom and measures 9 cm. Enter the wave's actual amplitude in cm.

An audit walks one diagram's four features. Which feature is drawn correctly?

amplitudewavelengthtroughcrest