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In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms–1. The third resonance is observed when the air column has a length of ______ cm.
In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms–1. The third resonance is observed when the air column has a length of ______ cm.
Updated On: Jul 8, 2024
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Correct Answer: 104
Solution and Explanation
The correct answer is 104
\(400 = \frac{ν}{4(L_1+e)} ..... (i)\)
\(400 = \frac{5v}{4(L_2+e)} ..... (ii)\)
By using equation (i) and (ii) , we get
\(⇒ L1 + e = \frac{λ}{4} = 21 cm\)
\(L2 + e = \frac{5λ}{4} = 105 cm\)
⇒ e = 1 cm & L2 = 104 cm
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Concepts Used:
Sound
Sound is a vibration that propagates the mechanical wave of displacement and pressure, through a medium can be of any matter. In other words, the sound is the thin line between Music sound and Noise.
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Sound can be divided into two types depending on its frequency. The following are:-
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