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An air column in a glass tube , is open ...

An air column in a glass tube , is open at one end and closed at the other by a movable piston . The air in the tube is warmed above room temperature , and a `384 Hz` tuning fork is held at the open end. Resonance is heard when the piston is `22.8 cm` from the open end and again when it is `68.3 cm` from the open end . (a) What speed of sodium is impliedby these data ? (b) How far from the open end will the piston be when the next resonance is heard ?

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To solve the problem, we need to follow these steps: ### Step 1: Understand the Resonance Conditions In a tube that is closed at one end and open at the other, the resonant wavelengths are given by: - First resonance (first harmonic): \( L_1 = \frac{\lambda}{4} \) - Second resonance (third harmonic): \( L_2 = \frac{3\lambda}{4} \) Where \( L_1 \) and \( L_2 \) are the lengths of the air column at the first and second resonance, respectively. ...
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