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Q. How do the resonance frequencies compare between the open tube and the closed tube &...

Q. How do the resonance frequencies compare between the open tube and the closed tube & How does the length of the tube affect the resonance frequency?

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Answer #1

Resonance frequency for open tube,

And for closed tube

So, we see that resonance frequency is greater for an open tube and decreases for closed tube for a tube of the same length.

Dependence on Length

From the formulae for resonance frequencies we see that the resonance frequency is inversely proportional to the length of the tube. So, o increasing the length, resonance frequency decreases and vice versa.

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