Question

A column that is closed at one end has a fundamental frequency of 274hz when the speed of sound in air is 330m/s. What is the length of this column

Answer 1

0.3 m

Step-by-step explanation:

`v` = Velocity of sound in air =
`330\ \text{m/s}`

`f` = Fundamental frequency =
`274\ \text{Hz}`

`L` = Length of the tube

When one end of a column is closed the fundamental frequency is given by

`f=(v)/(4L)\\\Rightarrow L=(v)/(4f)\\\Rightarrow L=(330)/(4* 274)\\\Rightarrow L=0.3\ \text{m}`

The length of the column is 0.3 m.