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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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.
A
`0.012m`
B
`0.025m`
C
`0.05m`
D
`0.024m`
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B
(b) the prongs of the tuning fork were kept in a horizontal plane above the resonance tube
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