Two organ pipes are imitating a sound of 12 Hz, one of them is 12 m long. What is the length of the other pipe?

To find the length of the other pipe, we can use the formula for the speed of sound in a pipe:

v = f * λ

where:
v is the speed of sound,
f is the frequency of the sound wave, and
λ is the wavelength of the sound wave.

In this case, we know that the frequency (f) is 12 Hz. We also know that the speed of sound in air at room temperature is approximately 343 meters per second (m/s).

We can calculate the wavelength (λ) using the formula:

λ = v / f

Substituting the known values, we have:

λ = 343 m/s / 12 Hz

Calculating this, we find that the wavelength (λ) is approximately 28.6 meters (m).

Now, we can use the wavelength (λ) to find the length of the other pipe. In a closed organ pipe, the length is equal to a quarter of the wavelength (λ/4):

Length of the other pipe = λ/4
= 28.6 m / 4
= 7.15 m

Therefore, the length of the other pipe is approximately 7.15 meters.