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 for k 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. 0.012 m
• B. 0.025 m
• C. 0.005 m
• D. 0.024 m

Answer 1

Answer: (B)

0.025 m

Answer 2

Let $\Delta l$ be the end correction.
Given that, fundamental tone for a length 0.1m = first
overtone for the length 0.35 m.
\hspace15mm \frac{v}{4(0.1+\Delta l)}=\frac{3v}{4(0.35+\Delta l)}
Solving this equation, we get $\Delta l = 0.025m = 2.5cm.$