First slide

Standing 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 . 1m. When the length is changed to 0 .35 m, the same tuning fork resonates with the first overtone. The end correction is

Moderate

A

0.050 m
B

0.025 m
C

0.030 m
D

none of these

Solution

$\frac{v}{4 (l_{1} + x)} = \frac{3 v}{4 (l_{2} + x)} or \frac{1}{(0 \cdot 1 + x)} = \frac{3}{(0 \cdot 35 + x)} 0 - 3 + 3 x = 0 - 35 + x 2 x = 0 .05 or x = 0 .025 m$

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