Name That Harmonic: Strings - Questions

The Name That Harmonic: Strings Concept Builder is comprised of 36 questions. The questions are divided into 16 different question groups. Questions in the same group are rather similar to one another. The Concept Builder is coded to select at random a question from each group until a student is successful with that group of questions.

There are three different activities that can be engaged in through the Concept Builder. Those three activities are differentiated as follows:
 

• ID the Pattern: Question Groups 1-6 ... Students must identify the standing wave patterns for the first six harmonics of a vibrating string.
• Frequency: Question Groups 7-12 ... Students are given the fundamental frequency and the frequency of an unknown harmonic. They must identify the standing wave pattern for that harmonic.
• Wavelength: Question Groups 13-16 ... Students are given the length of a string and the wavelength of an unknown harmonic. They must identify the standing wave pattern for that harmonic.

The questions from each group are shown below. Teachers are encouraged to view the questions in order to judge which activities are most appropriate for their classes. 

The Physics Classroom grants teachers and other users the right to print these questions for private use. Users are also granted the right to copy the text and modify it for their own use. However, this document should not be uploaded to other servers for distribution to and/or display by others. The Physics Classroom website should remain the only website or server from which the document is distributed or displayed. We also provide a PDF that teachers can use under the same conditions. We have included a link to the PDF near the bottom of this page.

 

 

Name That Harmonic - Strings

 
Activity 1:  ID the Pattern
Question Group 1
Question 1
Identify the standing wave pattern for a string that is vibrating with a first harmonic wave pattern.
   
 
Question Group 2
Question 2
Identify the standing wave pattern for a string that is vibrating with a second harmonic wave pattern.
 
 
Question Group 3
Question 3
Identify the standing wave pattern for a string that is vibrating with a third harmonic wave pattern.
   
 
Question Group 4
Question 4
Identify the standing wave pattern for a string that is vibrating with a fourth harmonic wave pattern.
 
 
Question Group 5
Question 5
Identify the standing wave pattern for a string that is vibrating with a fifth harmonic wave pattern.
 
 
 
Question Group 6
Question 6
Identify the standing wave pattern for a string that is vibrating with a sixth harmonic wave pattern.
 

 
Question Group 7
Question 7
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 160 Hz.
 
 
 
Question 8
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 120 Hz.
 
 
Question 9
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 240 Hz.
   
 
Question Group 8
Question 10
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 240 Hz.
   

 
Question 11
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 180 Hz.
   
 
Question 12
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 360 Hz.
 
 
 

 
Question Group 9
Question 13
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 320 Hz.
   
 
Question 14
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 240 Hz.
   

 
Question 15
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 480 Hz.
   
 
Question Group 10
Question 16
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 400 Hz.
   

 
Question 17
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 300 Hz.
   
 
Question 18
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 600 Hz.
   
 

 
Question Group 11
Question 19
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 480 Hz.
   
 
Question 20
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 360 Hz.
   

 
Question 21
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 720 Hz.
   
 
 
 
Question Group 12
Question 22
The fundamental or first harmonic frequency of a vibrating string is 80 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 560 Hz.
   

 
Question 23
The fundamental or first harmonic frequency of a vibrating string is 60 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 420 Hz.
 
 
 
Question 24
The fundamental or first harmonic frequency of a vibrating string is 120 Hz. The same string is capable of vibrating with several other standing wave patterns. Identify the standing wave pattern for the harmonic that has a frequency of 840 Hz.
   
 

 
Activity 3
Question Group 13
Question 25
A string has a length of 48 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 96 cm.
   
 
Question 26
A string has a length of 64 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 128 cm.
   

 
Question 27
A string has a length of 40 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 80 cm.
   
 
 
 
Question Group 14
Question 28
A string has a length of 48 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 32 cm.
   

 
Question 29
A string has a length of 90 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 60 cm.
   
 
Question 30
A string has a length of 60 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 40 cm.

   
 
 
Question Group 15
Question 31
A string has a length of 48 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 24 cm.
   
 
 
Question 32
A string has a length of 64 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 32 cm.
   
 
 
Question 33
A string has a length of 60 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 30 cm.
   
 
 
 
Question Group 16
Question 34
A string has a length of 50 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 20 cm.
   
 

 
Question 35
A string has a length of 80 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 32 cm.
   
 
 
Question 36
A string has a length of 60 cm. Identify the standing wave pattern for the harmonic that has a wavelength of 24 cm.