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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A soft drink bottle resonates as air is blown across its top. What happens to the resonant frequency as the level of fluid in the bottle decreases?

To determine
The resonant frequency as the level of fluid in the bottle decrease.

Explanation

Soft drink bottle is like a pipe with one end closed, any change in the resonant frequency of the soft drink bottle can be found by equating its resonance to the resonance of one end closed pipe.

Let us consider the bottle is filled with the amount of fluid such that the air column above it resonates at the first harmonic.

Formula for the resonant frequency for the first harmonic is,

f=v4L

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