Question

What length of closed pipe will produce a fundamental frequency of 256 Hz at 20 ℃?​

Answer 1

For a closed pipe

Find-We have to find the length of the closed pipe

Explanation:

We know the speed of the sound in air is 331m/sec at temperature 0 °C

So, by the formula of,

The speed of the sound in air

$v=(331 m/sec)\sqrt{1+\frac{T}{273 'C}} \\=(331 m/sec)\sqrt{1+\frac{20}{273 'C}} \\\\=342.91 m/sec$

Here T is the temperature of air in Celcius

Now, to find the length

we know The fundamental frequency is

$f_{1}=\frac{v}{4L}\\L=\frac{v}{4f_{1} }\\=\frac{342.91 m/sec}{4\times256}$

L=0.335 m

Hence, the length of the closed pipe is 0.335 m