Copland College

Year 12 - Physics


General Wave Properties - Standing Waves and Resonance:

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Answer Sheet - Standing Waves
Problem Sheet - W/S 2
Answer Sheet - W/S 2


Guide to Reporting Your Results: Due Date Monday, 5th March


Standing Waves – Resonance

All students should have received copies of this document.  Click on the links below to download any of the experiment sheets.  Note that for the Stationary Waves in a Spring and for
Stationary waves in an open-ended tube produced by a loud speaker no formal notes were issued.  The instructions below have been amended to provide further assistance for you.

Experiments- First Set:

Last week you completed two investigations.  Formal reports are not required for these, however, you do need to write up the results in you practical book.  This must be done neatly with appropriate headings.  A very brief description of what you have done is required.  You may cut and paste the experiment sheets to save time.  The main focus will be on the results and what you have found.  Our classroom discussions will help in this regard.

The activities already completed are,

1) Stationary waves in a steel spring
For this activity our aim was to generate standing waves such that the fundamental and the 1st and possibly the second overtone was generated.  With the fundamental the wavelength is twice the length of the string.  Increasing the vibrational frequency will generate the first overtone.  With the first overtone the wavelength is equal to the length of the string.  What is the frequency relationship between the fundamental and the first overtone.  Our class discussion suggested a 1:2 relationship.  Read Section 11-13 of your text for further information.

2) Stationary waves/resonance produced by a tuning fork in a resonance box.
Did you find that the tuning form that matched the length of the resonance box produced the most intense sound.  What anomalies occurred if any.  Refer text Section 12 -4

Experiments - Second Set:

There are three further experiments that we will be completing this week.

3) Stationary waves in an air column. Instruction sheet already provided.
4) Stationary waves in an open-ended tube produced by a loud speaker.
5) Stationary waves in a string produced by an electrically driven oscillator.

 Remember no detailed analysis is required for these activities.  However, you must report your results, complete the calculations/graphs and write a conclusion.

Make sure that you collect sufficient data and you have a reasonable understanding of the practical.  Remember for these activities I am able to give you as much assistance as is necessary.  This is unlike the formal assessment reports that will be given later.

3) Stationary waves in an air column:  This activity is very similar to the tuning fork resonance tube activity.  The apparatus that we will use allows us to vary the length of the air column by increasing or decreasing the amount of water in the tube.  Moving the reservoir up and down carries out this adjustment.  The amount of water in the tube can be observed by checking the attached glass tubing. 

Work through the sections of the practical as indicated below.
Section f:  General set-up
Section g: Do the necessary calculations.
Section h: Check range of values of length of air column that will give a constant sound level.
Section i: Tabulate data from Section h.
Section j: Collect data for the first resonant frequency of as many tuning forks as is possible.
Section k:  Graph you results using Excel on the science computers. 
Sections m, n, o and p.  Complete these activities ONLY if time is available.

4) Stationary waves in an open-ended tube produced by a loud speaker.

For this activity you will have a number of open-ended tubes of various lengths.  The air in these tubes can be made to resonate by applying a vibrational frequency that is related to the length of the tubes.  Because the tubes are open ended the first resonance occurs when the length of the tube is half (1/2) the wavelength of the sound oscillation.  Your task is to measure the tube in metres then calculate the wavelength of the sound wave that will produce the first harmonic.  Connect the speaker to the oscillator then set the oscillator to the appropriate frequency. The speed of sound can be taken as 330 m/s.  This allows you to determine the frequency.  Vary the amplitude control to keep any sound to a reasonable value.

Hold the tube over the speaker leaving a space of about 1 cm.  Vary the frequency as necessary to produce the maximum resonance.  The next resonance will occur when the tube is equal in length to the wavelength and the next when the tube is 1.5 times the wavelength.  Calculate the necessary frequencies.  Alter the frequency around the calculated value to determine how this will affect the resonance. 

Also examine the relationship between the height of the tube above the speaker and the resonance that occurs.  

5) Stationary waves in a string produced by an electrically driven oscillator. 

For this activity follow the procedures on the sheet Experiment 2 – Standing Waves in a String.   Your task is to compare the velocity of the wave in the string using two approaches.  The first involves a calculation involving the tension in the string and the second involves a calculation using the frequency of vibration and the wavelength.  From the experiment sheet follow through the sections Set-up, Procedure, and Analysis Method 1.  You will note that an assessment of uncertainty is expected here.

Simulations: 

The following simulations may help you understand some of the principles involved in these activities.

Waves in a String:

Click on the following diagram to activate this simulation.

 

A more complex simulation can be seen below.  Here the nature of the standing wave is very easy to observe.  Click on the diagram to visit the web site.