Question

An air-filled pipe is found to have successive harmonics at 630 Hz , 810 Hz , and 990 Hz . It is unknown whether harmonics below 630 Hz and above 990 Hz exist in the pipe. What is the length of the pipe?What type of pipe do you have?

Answer 1

0.95277 m

one end closed and the other end open

Step-by-step explanation:

The harmonics are

630, 810, 990

So,

`7* 90=630,\ 9* 90=810,\ 11* 90=990`

This can be only done when the pipe has one end open and the other end closed.

The fundamental frequency is 90 Hz

Fundamental frequency is given by

`f=(v)/(4L)\\\Rightarrow L=(v)/(4f)\\\Rightarrow L=(343)/(4* 90)\\\Rightarrow L=0.95278\ m`

The length of the pipe is 0.95277 m

The pipe has one end closed and the other end open