What are the systematic errors in measuring the speed of sound in air?

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SUMMARY

This discussion focuses on the systematic errors encountered when measuring the speed of sound in air using an oscilloscope and a resonant frequency setup between 38 kHz and 42 kHz. The method involves measuring the time for a sound pulse to travel from a transmitter to a receiver, adjusting the receiver's position to align sound waves in phase, and calculating the speed using the formula v = λf. Key systematic errors include inaccuracies in timing measurements, environmental factors affecting sound propagation, and potential misalignment of the oscilloscope readings.

PREREQUISITES
  • Understanding of sound wave properties and behavior
  • Familiarity with oscilloscope operation and measurements
  • Knowledge of resonant frequency concepts
  • Basic grasp of the formula v = λf for wave speed calculations
NEXT STEPS
  • Research methods for minimizing timing inaccuracies in sound experiments
  • Explore environmental factors affecting sound speed, such as temperature and humidity
  • Learn about advanced oscilloscope techniques for precise measurements
  • Investigate common systematic errors in wave measurement experiments
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Students conducting physics experiments, educators teaching sound wave properties, and researchers focusing on acoustics and measurement techniques.

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Homework Statement



I want to carry out an experiment in order to make accurate measurement of the speed of sound in air.

Method:
We will measure the speed of sound waves in air by measuring the time required for a short sound pulse to travel from its source to a receiver. This time interval is short and is
measured with the help of an instrument called an oscilloscope. The experimental setup is shown in the figure below:

[PLAIN]http://img130.imageshack.us/img130/8742/18948898.gif

The sound wave from T is picked up by a receiver (R).

The transmitter & receiver have resonant frequency somewhere between 38 kHz to 42 kHz. Once we set the the signal generator to the resonant frequency, at which amplitude the wave length \lambda of the sound can be measured this way: first adjust the position of R so that the two waves displayed on the oscilloscope are in phase ; second shif R backward or forward until the two waves are back in phase; third since R must have traveled by \lambda to bring the two waves back in phase, the difference between the initial and final position of R is equal to one \lambda.

(i) Come up with a systematic method to measure the wave length \lambda.

(ii) Find the velocity using v=\lambda f. Then list as many systematic errors as you can.

The Attempt at a Solution



(i) What is it meant by a "systematic method" for measuring the wave length? Is it referring to an accurate way of measuring it (like repeating the experiment a few times and averaging the results)?

(ii) I think the systematic errors in this experiment are related to the systematic errors in measuring the wave length. But I don't know what those errors might be ...

What systematic error is the most significant?
 
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