Question

2. A 1.30-m long gas column that is open at one end and closed at the other end has a fundamental resonant frequency 80.0 Hz. What is the speed of sound in this gas?

Answer 1

To solve this problem, it will be necessary to apply the concepts related to the fundamental resonance frequency in a closed organ pipe.

This is mathematically given as

`f_n (2n+1)((v)/(4L))`

For fundamental frequency n is 0, then,

`f_0 = (v)/(4L)`

When,

v = Velocity of sound

L = Length,

Rearranging to find the velocity,

`v = f_0 (4L)`

`v = (80Hz)(4)(1.3m)`

`v = 416m/s`

Therefore the speed of sound in this gas is 416m/s