# The length of a hollow pipe is 816 cm. The air column in the pipe is vibrating and has eight...

## Question:

The length of a hollow pipe is 816 cm. The air column in the pipe is vibrating and has eight nodes. What is the fundamental frequency, that is the lowest frequency the pipe can sustain.

## Fundamental Frequency:

The lowest frequency produced by musical instruments is called the fundamental frequency or first harmonic. The fundamental frequency can be calculated using:

{eq}\displaystyle f = \frac{Nv}{2L} {/eq}

where:

*N*are the number of nodes for the waves- {eq}\displaystyle v = 343\ m/s {/eq} is the speed of sound

*L*is the length of the instrument

## Answer and Explanation:

Given:

- {eq}\displaystyle L = 816\ cm = 8.16\ m {/eq} is the length of the instrument

- {eq}\displaystyle N = 8 {/eq} are the number of nodes for the...

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