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  4. ›Oberstufe Klasse 11
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  6. ›Schwingungen und mechanische Wellen

Oberstufe Klasse 11 / Physics / Curriculum

Schwingungen und mechanische Wellen

Schwingungen und mechanische Wellen: structured theory, worked examples, answered practice, and a mastery checklist for Oberstufe Klasse 11.

CHAPTER PLAN

Learn, practise, and check your progress

Follow the steps in order or jump directly to the part you need.

—/5

completed

Estimated active study time

209 minutes

  1. 1. Understand

    Objectives, key ideas, and structured theory.

    Open →
  2. 2. Follow the method

    Worked examples that explain every step.

    Open →
  3. 3. Practise

    Graded tasks with hints and answer guidance.

    Open →
  4. 4. Consolidate

    Assignments from core work to challenge.

    Open →
  5. 5. Check

    A timed, marked test with solution guidance.

    Open →

Progress is stored only in this browser and does not require AI credits.

Learning objectives

  • ✓Describe “Harmonic oscillation” using evidence from observation, measurement, or a model.
  • ✓Describe “Energy in oscillations” using evidence from observation, measurement, or a model.
  • ✓Describe “Coupled oscillations where scheduled” using evidence from observation, measurement, or a model.
  • ✓Describe “Mechanical waves” using evidence from observation, measurement, or a model.
  • ✓Describe “Interference introduction” using evidence from observation, measurement, or a model.

Key ideas and checks

  • I define and connect the main wave quantities.
  • I apply v = fλ with consistent units.
  • Every solution or explanation for “Schwingungen und mechanische Wellen” should include a method, justification, and final check.

Unit

Core theory

The essential chapter ideas in a clear sequence before practice.

01

Oscillation that transfers energy

A wave transfers energy and information without net transfer of matter. Distinguish amplitude, wavelength, period, and frequency.

02

Wave-speed relationship

The relation v = fλ connects the medium and the oscillation. At a boundary, source frequency stays fixed while speed and wavelength may change.

03

Reflection, refraction, and superposition

Use the normal, angles, and wavefronts. Superposition adds displacements without permanently changing the component waves.

04

Harmonic oscillation

For “Harmonic oscillation”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

05

Energy in oscillations

For “Energy in oscillations”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

06

Coupled oscillations where scheduled

For “Coupled oscillations where scheduled”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

07

Mechanical waves

For “Mechanical waves”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

08

Interference introduction

For “Interference introduction”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

Physics

Worked examples

Follow the method step by step and check why every step is valid.

Worked wave example

A wave has frequency 2 Hz and wavelength 2 m. Find its speed.

  1. 1Use v = fλ.
  2. 2Substitute v = 2 · 2.
  3. 3Check that Hz·m gives m/s.

v = 4 m/s

Reasoning example

Before calculating, explain the key idea from “Harmonic oscillation” and which conditions must be checked.

  1. 1Define the idea in one clear sentence.
  2. 2Connect it to a representation, law, or formula.
  3. 3State a restriction, unit, or final check that makes the solution valid.

The answer should show not only which rule is used for “Harmonic oscillation”, but also why it is valid here.

Schwingungen und mechanische Wellen

Practice with answers

Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.

Core fluency4 minutes

A wave has f=6 Hz and λ=1.5 m. Find speed.

Hint

v=fλ.

Answer guide

v=9 m/s.

Core fluency5 minutes

Structure a solution for “Energy in oscillations”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Energy in oscillations”, shows substitution and calculation, and interprets the result.

Application6 minutes

Identify three uncertainty sources in measuring “Coupled oscillations where scheduled” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Application7 minutes

Plan a suitable graph for “Mechanical waves” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Reasoning8 minutes

Check whether a result for “Interference introduction” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Reasoning9 minutes

Connect “Standing waves introduction” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

Exam style10 minutes

Write a multi-step exam response about “Harmonic oscillation” with calculation and evaluation.

Hint

Separate givens, model, calculation, result, and evaluation.

Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

Exam style12 minutes

Compare two methods for investigating “Energy in oscillations” and select the more reliable using criteria.

Hint

Use accuracy, repeatability, control, and safety.

Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

Common mistakes

  • Confusing amplitude with wavelength.
  • Changing frequency when a wave enters a new medium.
  • Measuring an angle from the surface instead of the normal.

Mastery check

  • ✓I define and connect the main wave quantities.
  • ✓I apply v = fλ with consistent units.
  • ✓I draw reflection, refraction, or superposition correctly.

Schwingungen und mechanische Wellen

Chapter homework

Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.

Core8 minutes

Homework 1: A wave has f=9 Hz and λ=2 m. Find speed.

Hint

v=fλ.

Answer guide

v=18 m/s.

Core10 minutes

Homework 2: Structure a solution for “Energy in oscillations”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “Energy in oscillations”, shows substitution and calculation, and interprets the result.

Stretch12 minutes

Homework 3: Identify three uncertainty sources in measuring “Coupled oscillations where scheduled” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Stretch15 minutes

Homework 4: Plan a suitable graph for “Mechanical waves” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Challenge18 minutes

Homework 5: Check whether a result for “Interference introduction” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Challenge20 minutes

Homework 6: Connect “Standing waves introduction” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

50 minutes / 40 marks

Full chapter test

A timed, full-mark self-assessment with model-answer guidance.

Test timer

Ready to start

Time remaining: 50:00

Start the timer when ready, work without notes, show every step, and open model answers only after finishing.

1. A wave has f=7 Hz and λ=2 m. Find speed.

2 marks
Answer guide

v=14 m/s.

2. Structure a solution for “Energy in oscillations”: givens, SI units, law, substitution, and interpretation.

3 marks
Answer guide

A full solution states symbols/units, selects a valid law for “Energy in oscillations”, shows substitution and calculation, and interprets the result.

3. Identify three uncertainty sources in measuring “Coupled oscillations where scheduled” and improve each one.

3 marks
Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

4. Plan a suitable graph for “Mechanical waves” data and explain how to obtain a gradient or relationship.

4 marks
Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

5. Check whether a result for “Interference introduction” is sensible using units, order of magnitude, and a limiting case.

4 marks
Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

6. Connect “Standing waves introduction” to energy conservation or a force/field model and justify the choice.

4 marks
Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

7. Write a multi-step exam response about “Harmonic oscillation” with calculation and evaluation.

5 marks
Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

8. Compare two methods for investigating “Energy in oscillations” and select the more reliable using criteria.

5 marks
Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

9. Create an extension question about “Coupled oscillations where scheduled”, a prediction, and a data-collection plan.

5 marks
Answer guide

A full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.

10. A wave has f=6 Hz and λ=1 m. Find speed.

5 marks
Answer guide

v=6 m/s.

Unit

Official sources and verification

Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.

Thüringer Schulportal - LehrpläneOfficial Thüringen curricula by stage and subject.

Physics

Learn Begriff, Einheit, Formel, and Anwendung before longer Aufgaben.

Back to subject

What this chapter covers

The structure follows the official textbook layout and is used to organise study.

Harmonic oscillation
Energy in oscillations
Coupled oscillations where scheduled
Mechanical waves
Interference introduction
Standing waves introduction

Where to focus

The areas that usually create mistakes or need extra revision.

I define and connect the main wave quantities.
I apply v = fλ with consistent units.
I draw reflection, refraction, or superposition correctly.

Sources, daily material, and resources

Where to start: textbook, daily material, PDFs, videos, and worked examples.

Start from the official textbook or specification referenced on the subject page.
Use the notes and examples as support, not as a replacement for the official syllabus.
Check the current syllabus version before exam preparation.

Practice by subtopic

Targeted practice before full tests so coverage is clear.

A wave has f=6 Hz and λ=1.5 m. Find speed.
Structure a solution for “Energy in oscillations”: givens, SI units, law, substitution, and interpretation.
Identify three uncertainty sources in measuring “Coupled oscillations where scheduled” and improve each one.
Plan a suitable graph for “Mechanical waves” data and explain how to obtain a gradient or relationship.
Check whether a result for “Interference introduction” is sensible using units, order of magnitude, and a limiting case.
Connect “Standing waves introduction” to energy conservation or a force/field model and justify the choice.
Write a multi-step exam response about “Harmonic oscillation” with calculation and evaluation.
Compare two methods for investigating “Energy in oscillations” and select the more reliable using criteria.

Mocks and progress checks

How to measure progress in this chapter and when it enters a cumulative mock.

Start with untimed practice by subtopic.
Move to a short timed checkpoint only after completing the mastery checklist.
Record each error with the correct method and revisit it after 48 hours.

Next step

What to do after finishing the chapter and how it connects to the next unit.

Complete the practice without support.
Explain the core method aloud in under two minutes.
Continue to the next chapter or request targeted tutor support.

Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.

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