Question

How do I solve?

When you blow across the top of a soda bottle, it acts like a closed pipe with a fundamental frequency of 495 Hz. If you pour 0.030 m of water into the bottle, shortening the air cavity, what is the new fundamental frequency? (Hint: Find the original length.) Speed of sound 343 m/s) (Unit Hz) ightaoo-ohs Corporation All Rights Resr

Answer 1

Bottle$L=v/(4*f)$ will be like a orgon pipe closed from one end. For that we know frequency(f),velocity(v) & Length(L) relation is

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

$L=v/(4*f)$

L=342/(4*495)

After pouring water effective length,l=L-0.030

f= 342/4*(L-0.030)

f=599 Hz