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In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is `0.1m`. When this length is changed to `0.35m`, the same tuning fork resonates with the first overtone. Calculate the end correction.

Text Solution

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The correct Answer is:
B
Let `Delta l` be the end correction.
Given that fundamental tone for a length `0.1 m` and first overtone for the length is ` 0.35 m`.
`f =v/(4(0.1 +Deltal)`
=`(3v)/(4(0.35 +Deltal)`
Solving this equation, we get
`Deltal =0.025m`.
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In the experinment for the determinnation of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fu ndamental mode , with a tuning fork is 0.1 m . When this length is changed to 0.35m , the same tuning fork resonates with the first overtone. Calculate the end correction. (a) 0.012 m (b) 0.0025 m (c) 0.05 m (d) 0.024 m

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Knowledge Check

  • In the eperiment for the determinetion of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode, with a tuning fork is 0.1m . When this length is changed to 0.35m , the same tuning fork resonates with the first overone. calculate the end correction.

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    B
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    D
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  • A student performed the experiment to measured the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shoter air-column is the first resinance and that with the longer air-column is the second resonance. then,

    A
    (a) the intensity of the sound heard at the first resonance was more than that at the second resonance
    B
    (b) the prongs of the tuning fork were kept in a horizontal plane above the resonance tube
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  • The end correction of a resonance column in resonance tube experiment is 0.5 cm. If the shortest length resonating with a tuning fork is 16 cm, then the next resonating length will be

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