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. $0.024m$

Answer 1

Answer: (B)

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