Question

calculate the fundamental frequency of an air column in a tube of length 25 cm closed at one end if the speed of sound in air is 350m/s​

Answer 1

Given:

An air column is in a tube of length 25 cm closed at one end if the speed of sound in air is 350 m/s.

To find:

Fundamental frequency ?

Calculation:

For $\rm fun dam ental$ frequency, we can say:

$\dfrac{ \lambda}{4} = l$

$\implies \lambda = 4l$

$\implies \lambda = 4 \times 25$

$\implies \lambda = 100 \: cm$

$\implies \lambda = 1 \: m$

Now, frequency will be :

$f = \dfrac{v}{ \lambda}$

$\implies \: f = \dfrac{350}{1}$

$\implies \: f = 350 \: hz$

So, $\rm fun dam ental$ frequency is 350 Hz.

Answer 2

Given:-

An air column is in a tube of length 25 cm closed at one end if the speed of sound in air is 350 m/s.

To Find:-

Fundamental frequency ?

Calculation:-

For fundamental frequency, we can say:

λ/4= l

⇒λ=4I

⇒λ=4×25

⇒λ=100cm

⇒λ=1 m

Now, frequency will be :

f=v/λ

⇒350/1

⇒350 hz

So fundamental frequency is 350 hz.

☆Hope it helps you☆