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What should be minimum length of tube so...

What should be minimum length of tube so that third resonancee can also be heard .

A

`l_(3) =421`

B

`l_(3) =214`

C

`l_(3)=124`

D

None of these

Text Solution

AI Generated Solution

To determine the minimum length of the tube so that the third resonance can be heard, we can follow these steps: ### Step 1: Understanding Resonance in a Tube In a tube closed at one end, the resonances occur at specific lengths. The fundamental frequency (first resonance) occurs when the length of the tube is equal to one-fourth of the wavelength. The subsequent resonances occur at odd multiples of this length. ### Step 2: Formula for Resonance Lengths The lengths for the resonances can be expressed as: - First resonance (L1): \( L_1 + \epsilon = \frac{V}{4f_0} \) ...
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