Sound WavesHard
Question
A student is experimenting with resonance tube apparatus in Physics lab to find the speed of sound at room temperature. He got resonating lengths of air column as 17 cm and 51 cm, using tuning fork of frequency 512 Hz. Find speed of sound at room temperature and specify, whether the side water reservoir was moved upward or downward to obtain the second resonance (51 cm)?
Options
A.348 m/s, downwards
B.348 m/s, upwards
C.332 m/s, downwards
D.332 m/s, upwards
Solution
Sol. 512 = $\left( n + \frac{1}{2} \right)\frac{v}{2 \times 17cm}$
512 = $\left( n + 1 + \frac{1}{2} \right)\frac{v}{2 \times 51cm}$
⇒ v = 348 m/s
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