Standing Wave: Definition, Equation & Theory


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question 1 of 3

How many nodes does the standing wave depicted below have?

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1. A standing wave with 3 antinodes oscillates on a string. The speed of waves on the string is 15 m/s and the length of the string is 0.5 m. What is the frequency of this standing wave?

2. A violin string is plucked. Standing waves with the four frequencies listed below vibrate on the string. Which frequency corresponds to the standing wave with the greatest number of nodes?

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About This Quiz & Worksheet

These resources are designed to strengthen your knowledge of standing waves. Topics covered in these tools include nodes in standing waves, harmonic series and finding different values with standing wave calculations.

Quiz & Worksheet Goals

Topics that are the main focus of the quiz are:

  • Finding the number of nodes in a standing wave
  • Calculating the frequency of standing waves based on given values
  • Calculating frequencies of standing waves with different harmonics
  • The definition of a harmonic series

Skills Practiced

The following skills can be practiced through these assessments:

  • Defining key concepts - ensure that you can accurately define main phrases such as harmonic series
  • Distinguishing differences - compare and contrast topics from the lesson, such as the different calculations for finding frequencies depending on the harmonic number
  • Problem solving - use acquired knowledge to solve standing wave practice problems

Additional Learning

Look over the lesson titled Standing Wave: Definition, Equation, and Theory for more on this subject. Topics discussed in this lesson include:

  • The elements of an acoustic guitar in the context of standing waves
  • How standing waves are created
  • The elements of a standing wave
  • The equation for frequencies of a standing wave
  • Examples of the first three harmonics