Nodes & Antinodes (OCR AS Physics): Revision Note

Exam code: H156

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Nodes & Antinodes

  • A stationary wave is made up nodes and antinodes

    • Nodes are regions where there is no vibration

    • Antinodes are regions where the vibrations are at their maximum amplitude

  • The nodes and antinodes do not move along the string

    • Nodes are fixed and antinodes only move in the vertical direction

  • The phase difference between two points on a stationary wave are either in phase or out of phase

    • Points between nodes are in phase with each other

    • Points that have an odd number of nodes between them are out of phase

    • Points that have an even number of nodes between them are in phase

  • The image below shows the nodes and antinodes on a snapshot of a stationary wave at a point in time

Nodes and antinodes, downloadable AS & A Level Physics revision notes

One wavelength on a stationary wave is only a proportion of its full length

  • Where:

    • L is the length of the string

    • One wavelength λ is only a portion of the length of the string

Worked Example

A stretched string is used to demonstrate a stationary wave, as shown in the diagram.

WE - Nodes and Antinodes question image(1), downloadable AS & A Level Physics revision notes

Which row in the table correctly describes the length of L and the name of X and Y?

WE - Nodes and Antinodes question image(2), downloadable AS & A Level Physics revision notes

Answer: C

Worked example - nodes and antinodes (2), downloadable AS & A Level Physics revision notes

Examiner Tips and Tricks

Make sure you learn the definitions of node and antinode:

  • Node = A point of minimum or no disturbance

  • Antinode = A point of maximum amplitude

In exam questions, the lengths of the strings will only be in whole or half wavelengths. For example, a wavelength could be made up of 3 nodes and 2 antinodes or 2 nodes and 3 antinodes.

Calculating Wavelength from Nodes & Antinodes

  • The wavelength λ of a stationary wave can be determined by the separation between adjacent nodes (or antinodes)

    The separation between adjacent nodes or antinodes is equal to λ / 2

  • Adjacent means two nodes or antinodes that are next to each other

Wavelength of Stationary Wave, downloadable AS & A Level Physics revision notes

2 adjacent nodes are nodes that are directly next to each other

Worked Example

The stationary wave below has a length L of 15 cm.

Wavelength of Stationary Wave Worked Example, downloadable AS & A Level Physics revision notes

Calculate the wavelength λ of the wave.

Answer:

Step 1: Calculate the distance between two nodes

Distance between two nodes = 15 cm ÷ 3 = 5 cm

Step 2: Calculate λ

Distance between two nodes = λ / 2 = 5 cm

λ = 2 × 5cm = 10 cm

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.