Standing Waves (DP IB Physics: SL): Revision Note

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Standing Waves

  • Standing waves are produced by two waves as they travel in opposite directions

  • This is usually achieved when a travelling wave superimposes its reflection

    • The superposition produces a wave pattern where the crests and troughs only move vertically

Stationary wave formation, downloadable AS & A Level Physics revision notes

Formation of a stationary wave on a stretched spring fixed at one end

Formation of Standing Waves

  • Standing waves are formed from the principle of superposition. This is when:

Two waves travelling in opposite directions along the same line with the same frequency superpose

  • The principle of superposition applies to all types of waves i.e. transverse and longitudinal, progressive and stationary

  • The waves must have:

    • the same wavelength

    • a similar amplitude

  • As a result of superposition, a resultant wave is produced

4-5-5a-qun-three-harmonics-sl-sq-easy-phy

Standing waves produced at varying frequencies

Comparing progressive and standing waves

  • Standing waves (or stationary waves) store energy

  • Progressive waves (or travelling waves) transfer energy

  • The table below outlines the main differences between progressive and stationary waves

Table of differences between progressive and stationary waves

Stationary v Progressive Waves Table, downloadable AS & A Level Physics revision notes

Worked Example

A travelling wave is incident on a barrier. The wave profile is shown below.  

4-5-1-we-nature-of-standing-waves-question-image

The travelling wave reflects off the barrier. The reflected and incident waves superimpose.

State and explain whether or not a standing wave is formed.

Answer:

  • For standing waves to be formed, the half-cycles of the wave profile must be symmetrical (i.e. the same but inverted)

  • For this wave, the half-cycles are not symmetrical

    • The leading edge is straight

    • The trailing edge is sinusoidal

  • When the incident and reflected waves superimpose, they will not cancel out at any point

  • Therefore, a standing wave is not formed

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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.