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

Answer:

0.3 m

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

$f=\dfrac{v}{4L}\\\Rightarrow L=\dfrac{v}{4f}\\\Rightarrow L=\dfrac{330}{4\times 274}\\\Rightarrow L=0.3\ \text{m}$

The length of the column is 0.3 m.