How Do You Calculate the Frequency of Oscillation for a Resonating Air Column?

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mohit.choudha
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Do not know how to solve this:

A tube 1 meter long is closed at one end. A stretched wire is placed near the open end. The wire is 0.30 meter long and has a mass of 0.010 kg. It is held fixed at both ends and vibrates in its fundamental mode. It sets the air column in the tube into vibration at its fundamental frequency by resonance. Find:
a) the frequency of oscillation of the air column
b) the tension in the wire.


Thank you
 
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mohit.choudha said:
Do not know how to solve this:

A tube 1 meter long is closed at one end. A stretched wire is placed near the open end. The wire is 0.30 meter long and has a mass of 0.010 kg. It is held fixed at both ends and vibrates in its fundamental mode. It sets the air column in the tube into vibration at its fundamental frequency by resonance. Find:
a) the frequency of oscillation of the air column
b) the tension in the wire.


Thank you

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What is the fundamental resonance of a tube like that? What is the relationship between a string's tension, mass density, and resonant frequency?