Answer:
The fifth harmonic frequency is 2.9 KHz.
Step-by-step explanation:
For a closed tube, the fifth harmonic frequency is also the second overtone. So that;
fifth harmonic frequency =
![(5V)/(4L)](https://img.qammunity.org/2022/formulas/physics/college/5g763lnjenjjoaea3wzdch92q5w34be6cu.png)
where V is the velocity of the sound in air, and L is the length of the tube.
But L = 0.15 m and V = 343 m/s, then:
fifth harmonic frequency =
![(5*343)/(4*0.15)](https://img.qammunity.org/2022/formulas/physics/college/zvjvwbgeyxb15a946w0il1bd98ez60jabo.png)
=
![(1715)/(0.6)](https://img.qammunity.org/2022/formulas/physics/college/twh6ao720yrrut4pi2tpkooarrj2nofgmj.png)
= 2858.33 Hertz
fifth harmonic frequency = 2.9 KHz
The fifth harmonic frequency of the soda bottle is approximately 2.9 KHz.