Wave Motion 5 Question 2
2. 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.
$(2003,2 M)$
(a) $0.012 m$
(b) $0.025 m$
(c) $0.05 m$
(d) $0.024 m$
Show Answer
Answer:
Correct Answer: 2. (b)
Solution:
- Let $\Delta l$ be the end correction.
Given that, fundamental tone for a length $0.1 m$ $=$ first overtone for the length $0.35 m$.
$$ \frac{v}{4(0.1+\Delta l)}=\frac{3 v}{4(0.35+\Delta l)} $$
Solving this equation, we get $\Delta l=0.025 m=2.5 cm$
