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

Question

In the experiment for the determination of the speed of sound in air using the resonance column, the resonates in the fundamental mode, with a tuning fork is 0.1 m . When this length is changed to 0.35 m , the same tuning fork resonates with the first overtone. Calculate the end correction. (A) 0.012m (B) 0.025 m (C) 0.05m (D) 0.024m

Tardigrade Admin · Accepted Answer

Let Δ l be the end correction. Given that, Fundamental tone for a length 0.1m= first overtone for the length 0.35 m ∴ (v/4 (0.1 + Δ l))=(3 v/4 (0.35 + Δ l)) Solving this equations we get Δ l =0.025 m=2.5 cm

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

$0.012 m$

$0.025 m$

$0.05 m$

$0.024 m$

Let $Δ l$ be the end correction. Given that,
Fundamental tone for a length $0.1 m =$ first overtone for the length $0.35 m$
$∴ \frac{v}{4 ( 0.1 + Δ l )} = \frac{3 v}{4 ( 0.35 + Δ l )}$
Solving this equations we get $Δ l$ $= 0.025 m = 2.5 c m$

Q. In the experiment for the determination of the speed of sound in air using the resonance column, the 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.

0.012m

0.025m

0.05m

0.024m