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IGCSE · Cambridge (CIE) · 0973

Describe ripple tank refraction across a depth change

Use a shallow region to compare transmitted spacing and direction while retaining the source cycle rate.

General properties of waves · Cambridge IGCSE 0973 · P3.1
Exam scope and assessment notes

Mapped to the named 0973 section using teaching from the corresponding single-science course. A 0973-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade. This qualification reports two grades on the 9–1 scale; confirm the entry route for your zone and exam series.

Before you begin

  • Explain refraction and normal incidence.
  • Use v = fλ and consistent front spacing.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

What is the intended role of the plate in this experiment?

What you will learn

  • Describe a ripple-tank refraction experiment using a change of depth.
  • Interpret speed, frequency and wavelength under the stated stationary conditions.
Original stationary-boundary oblique model uses frequency 4.0 Hz, speeds 0.60 and 0.40 m/s, wavelengths 0.15 and 0.10 m, and incident angle 30 degrees. The transmitted angle is about 19.47 degrees: the direction is closer to the normal in the slower region. Front spacing is scaled 60 and 40 drawing units along the respective propagation directions. This consistent illustrative geometry is not a measured tank image or a requirement to calculate angles in this Core lesson. Normal incidence could change speed without bending.Oblique entry into a slower regionAbove: 0.60 m/s · λ = 0.15 mBelow: 0.40 m/s · λ = 0.10 mFrequency stays 4.0 HzSlower region: closer to normal
Original stationary-boundary oblique model uses frequency 4.0 Hz, speeds 0.60 and 0.40 m/s, wavelengths 0.15 and 0.10 m, and incident angle 30 degrees. The transmitted angle is about 19.47 degrees: the direction is closer to the normal in the slower region. Front spacing is scaled 60 and 40 drawing units along the respective propagation directions. This consistent illustrative geometry is not a measured tank image or a requirement to calculate angles in this Core lesson. Normal incidence could change speed without bending.

Use a raised region to change water depth

A teacher-supervised ripple tank can contain a suitable transparent plate that makes water shallower over part of the tank. Use a straight vibrating bar to send fronts toward the depth boundary, with suitable source amplitude, illumination and viewing screen. Under the selected wave conditions, the shallower region has lower propagation speed. Observe spacing on both sides and direction for an oblique boundary.

Keep the source frequency steady and the boundary stationary. Fronts closer together over the plate show shorter wavelength; for unchanged frequency, v = fλ gives lower speed. With oblique entry, the direction is closer to the normal in the slower region. For normal entry, spacing can change without a change of propagation direction.

Compare consistent repeated features

Measure adjacent corresponding fronts along their propagation direction using the observation scale, not an arbitrary distance along the boundary. Several complete wavelengths can improve the spacing estimate when a clear pattern permits it. A supplied 4.0 Hz source with 0.15 m and 0.10 m spacings gives 0.60 and 0.40 m/s; these are teaching values, not real tank measurements.

Disturbed flow, tank-edge reflections or an uncontrolled source change can complicate the comparison. State the actual depth/source conditions and observation method. The plate must create a water-depth boundary rather than a dry solid wall blocking the whole path. A description and supplied calculations do not establish apparatus competence or a completed practical assessment.

Sources for this lesson

Pause and explain

At 4.0 Hz, a measured-model spacing changes from 0.15 to 0.10 m. Which speed comparison follows?

Put the idea to work

Worked example

Supplied fixed-frequency fronts have spacings 0.15 m in the deeper region and 0.10 m over a shallow plate, at 4.0 Hz. Find speeds.

Show the worked solution
  1. Use v = fλ for each region.
  2. Deeper-region speed = 4.0 × 0.15 = 0.60 m/s.
  3. Shallower-region speed = 4.0 × 0.10 = 0.40 m/s.

Answer 0.60 m/s then 0.40 m/s; source frequency remains 4.0 Hz.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Describe apparatus and observations for refraction over a shallow region in a ripple tank.

Give me a hint

Use transmission through a depth change with a steady source.

Compare my reasoning
  1. Use a suitable plate below the water to create two depths.
  2. Send approximately straight waves at a stationary boundary using a steady source.
  3. Compare front spacing and, for oblique incidence, normal-referenced direction.

A steady-source depth-boundary comparison shows changed spacing and possible oblique bending.

Look for these in your work

  • Describe the plate's purpose.
  • State the measured pattern features.
2 · Independent

For supplied f = 5.0 Hz, deeper spacing 0.060 m and shallower spacing 0.040 m, calculate speeds.

Give me a hint

Apply the same frequency separately to both repeat lengths.

Compare my reasoning
  1. Deeper speed = 5.0 × 0.060 = 0.30 m/s.
  2. Shallower speed = 5.0 × 0.040 = 0.20 m/s.
  3. The smaller spacing accompanies the lower speed.

0.30 m/s and 0.20 m/s.

Look for these in your work

  • Use consistent units.
  • Retain fixed frequency.
3 · Transfer

The source rate changes between the two depth observations. Can spacing alone isolate the depth effect on speed?

Give me a hint

Both frequency and wavelength now enter the comparison.

Compare my reasoning
  1. v = fλ uses each observation's actual frequency.
  2. The changed source rate affects spacing independently of a depth change.
  3. Use a matched steady source or record both frequencies before attributing the difference.

No depth-only conclusion follows from unmatched source frequencies and spacing alone.

Look for these in your work

  • Identify the changed variable.
  • Specify a fairer comparison.

Common mistakes

  • The plate changes depth rather than being a full dry barrier.
  • Measure spacing along propagation, not along the boundary.
  • No bending is required at normal incidence.
Recall without your notes

What can you explain now?

Do closer transmitted fronts at unchanged frequency imply a higher speed?

Compare with the explanation

No; lower speed.

The smaller wavelength gives smaller fλ when frequency stays fixed.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Describe a controlled depth-change tank method and use matched frequency to interpret transmitted spacing.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (9-1)

Course scope and assessment

This 9–1 pathway maps all 152 detailed subject-content sections in the published 0973 syllabus for exams in 2028 and 2029. The course map follows the same 2028–2029 section codes as Cambridge's A*–G 0654 syllabus, while keeping 0973's grading and entry rules separate. It adapts lessons from the related single-science courses and excludes clear single-science-only topics. A 0973-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The separate 2025–2027 syllabus has not been reconciled here. Cambridge lists 0973 only in a limited number of administrative zones: June in zone 3 and centres in Oman and the UAE; November in zone 3 only. Confirm entry with your centre.

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