A bunsen burner is placed at the bottom of a vertical tube o

--A bunsen burner is placed at the bottom of a vertical tube of length L= 1.5m. The air flow through the tube sets up a standing wave within the tube.--

A. If the air temperature in the column is assumed to be 20.0 C so the velocity of sound in the tube is 343m/s, determine the fundamental frequency of the standing wave.

B. If the air temperature were higher, which is likely, since the bunsen burner heats the air in the column, how will this affect the fundamental resonant frequency of the air column?

Solution

Answer:

(A)

Since it is open argon pipe

Then fundamental frequency f₁ = velocity / wavelength, where wavelength = 2L = 3 meter

Fundamental frequency f₁ = 343/ 3 = 114.3 Hz

(B) At higher temeprature, the velocity of sound would also increase since

v = 331 m/s * SQRT (1 + T/273)

As a consequence of it, at higher T results in high value of fundamental frequency.