Question

A pop bottle is to be used as a musical instrument. the bottle is 26.0 cm tall and the height of the water is 9.00 cm. Treat the bottle as a pipe that is closed at one end (the surface of the water) and open at the other end.
What is the fundamental frequency of the bottle?

Answer 1

Answer:

504.41 Hz

Explanation:

Given,

Height of the bottle, h = 26 cm

height of the water, l = 9 cm

Length of the pipe

L =h - l

L =26 - 9 = 17 cm

Fundamental frequency of closed-open pipe

$f = \dfrac{v}{4L}$

v =  speed of sound, v = 343 m/s

$f = \dfrac{343}{4\times 0.17}$

f = 504.41 Hz

Fundamental frequency of bottle is equal to 504.41 Hz