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

In summary, the conversation discusses an experiment to measure the speed of sound in air using a transmitter, receiver, and oscilloscope. A systematic method is proposed for measuring the wave length and calculating the velocity, and potential systematic errors are mentioned. The most significant systematic error in this experiment is related to measuring the wave length accurately.
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roam
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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 [tex]\lambda[/tex] 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 [tex]\lambda[/tex] to bring the two waves back in phase, the difference between the initial and final position of R is equal to one [tex]\lambda[/tex].

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

(ii) Find the velocity using [tex]v=\lambda f[/tex]. 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 reffering 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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Any suggestions guys?
 

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

What is the speed of sound in air?

The speed of sound in air varies depending on factors such as temperature, humidity, and altitude. However, at sea level and room temperature, the average speed of sound in air is approximately 343 meters per second (m/s) or 767 miles per hour (mph).

How does temperature affect the speed of sound in air?

As temperature increases, the speed of sound in air also increases. This is because warmer air molecules have higher kinetic energy, allowing them to vibrate faster and transmit sound more quickly. On the other hand, colder air molecules have lower kinetic energy and vibrate slower, resulting in a slower speed of sound.

Why does humidity impact the speed of sound in air?

Humidity refers to the amount of water vapor present in the air. When humidity is high, the air is more dense and can slow down the speed of sound. This is because water molecules are larger and heavier than air molecules, creating more resistance for sound waves to travel through.

Does altitude affect the speed of sound in air?

Yes, altitude can impact the speed of sound in air. As altitude increases, the air becomes thinner and less dense, resulting in a faster speed of sound. This is because there are fewer air molecules to slow down the transmission of sound waves.

How is the speed of sound in air measured?

The speed of sound in air can be measured using a variety of techniques, such as using devices like a laser interferometer or a sound speed probe. It can also be calculated using the formula: speed = distance / time. In this case, the distance would be the length of the sound wave and the time would be the time it takes for the sound wave to travel that distance.

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