Back to Topic 3.4 — Standing waves and resonance
3.4.1Physics SL12 flashcards

Standing waves: nodes, antinodes and superposition

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Card 1 of 123.4.1
3.4.1
Question

What is a standing (stationary) wave?

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All 12 Flashcards — Standing waves: nodes, antinodes and superposition

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Card 1definition

Question

What is a standing (stationary) wave?

Answer

The fixed pattern made when **two identical waves travel in opposite directions** and superpose — it does not move along.

Card 2definition

Question

What is superposition?

Answer

When two waves overlap, you **add their displacements** at every point to get the total wave.

Card 3definition

Question

Define a node.

Answer

A point on a standing wave that **never moves** (zero displacement) — the two waves always cancel there.

Card 4definition

Question

Define an antinode.

Answer

A point on a standing wave that swings with the **largest amplitude**, halfway between two nodes.

Card 5concept

Question

How far apart are neighbouring nodes?

Answer

**Half a wavelength (λ/2).** So λ = 2 × the node-to-node spacing. (Not in the data booklet — remember it.)

Card 6concept

Question

Does a standing wave transfer energy along its length?

Answer

**No** — there is no net energy transfer along a standing wave; the energy stays stored in place.

Card 7concept

Question

Phase of points between two nodes?

Answer

They move **in phase** (all together). Points on opposite sides of a node move in **antiphase** (exactly opposite).

Card 8concept

Question

Standing wave vs travelling wave — phase?

Answer

Standing: points are only ever **in phase or antiphase**. Travelling: the phase shifts **smoothly** from point to point.

Card 9concept

Question

How is a standing wave usually produced?

Answer

A wave **reflects off a fixed end** and meets itself coming back — two identical opposite waves that superpose.

Card 10example

Question

Why does chocolate melt in spots in a microwave?

Answer

Microwaves reflect off the walls and form a **standing wave**; the field is strongest at the **antinodes**, so it melts there and stays solid at the nodes.

Card 11example

Question

Melted spots are 6.0 cm apart — what is the wavelength?

Answer

Spots are one antinode apart = λ/2, so λ = 2 × 0.060 = 0.12 m.

Card 12concept

Question

Most common standing-wave mistake?

Answer

Thinking it **carries energy along** the string, or halving (instead of doubling) the node spacing to get the wavelength.

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IB Physics Standing waves: nodes, antinodes and superposition Flashcards | 3.4.1 | Aimnova | Aimnova