A 20.0 cm long organ pipe is filled with air and is open at one end...

A 20.0 cm long organ pipe is filled with air and is open at one end and closed at the other. The velocity of sound in air at 0

Expert Solution

When you're dealing with a pipe that has one end open and one end closed, at fundamental frequency (ie. the lowest frequency possible) there is only one half of a wavlength in the pipe. (Here's a picture of a one-end-open, one-end-closed pipe to help you visualize it http://www.saburchill.com/physics/chapte...

Since you know that your pipe is 20 cm, or 0.2 m long, and you also know that it has 1/4 wavelengths in it, you know that one wavelength is equal to 80 cm, or 0.8m.

Now, you can calculate frequency from wavelength using a constant value for the speed of sound in air (c = 331 m/s). The equation is

c = f*wavelength where f, frequency is in hertz and wavelength is in metres

331m/s = (f)(0.8m), therefore, f =413.75 Hz

The second harmonic frequency occurs when there are 3/4 wavelengths in the pipe so we know that wavelength is 0.93m. So, using the same equation, c = f*wavelength, we find the second harmonic frequency to be 366 Hz.

Just change both to have whatever number of significant figures you need.

genius_generous answered 11 months ago

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