A pipe open at both ends, produces a fundamental note. If the velocity of sound in air is V and L the length of the pipe, which of the following expresses t...
Question 1 Report
A pipe open at both ends, produces a fundamental note. If the velocity of sound in air is V and L the length of the pipe, which of the following expresses the frequency of the note? Neglect end correction
Answer Details
When a pipe open at both ends vibrates with its fundamental frequency, it produces a wavelength equal to twice the length of the pipe. This means that the wavelength of the fundamental frequency is equal to 2L, where L is the length of the pipe. The velocity of sound in air is given by V. Therefore, we can use the formula for the speed of sound, which is equal to the product of frequency and wavelength:
Speed of sound = frequency x wavelength
V = f(2L)
Solving for f gives us:
f = V/2L
Therefore, the correct option is: V/2L.
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