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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 :

cjmejiab

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

[tex]f_n (2n+1)(\frac{v}{4L})[/tex]

For fundamental frequency n is 0, then,

[tex]f_0 = \frac{v}{4L}[/tex]

When,

v = Velocity of sound

L = Length,

Rearranging to find the velocity,

[tex]v = f_0 (4L)[/tex]

[tex]v = (80Hz)(4)(1.3m)[/tex]

[tex]v = 416m/s[/tex]

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

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