First slide

Stationary waves

Question

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 $0.1 m$ . When this length is changed to $0.35 m$ , the same tuning fork resonates with the first overtone. Calculate the end correction.

Moderate

A

0.012 m
B

0.025 m
C

0.05 m
D

0.024 m

Solution

Let $Δ l$ be the end correction.
Given that fundamental tone for a length 0.1 m and first oventone for the length is $0.35 m$ .
$f = \frac{y}{4 (0.1 + Δ l)}$
$= \frac{3 v}{4 (0.35 + Δ l)}$
Solving this equation, we get
$Δ l = 0.025 m$

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