First slide

Standing waves

Question

In a resonance tube, using a tuning fork of frequency 325 Hz, two successive resonance lengths are observed at 25. 4 cm and 77 . 4 cm respectively. The
velocity of sound in air is

Moderate

A

338 ms^-1
B

328 m s^-1
C

330 m s^-1
D

320 m s ^-1

Solution

$l_{1} + x = Î» / 4 and l_{2} + x = \frac{3 Î»}{4} w h e r e x i s t h e e n d c o r r e c t i o n . l_{2} â l_{1} = \frac{Î»}{2} or Î» = 2 (l_{2} â l_{1}) or Î» = 2 (77 â 4 â 25 â 4) Î» = 104 cm V = nÎ» = 325 Ã 104 = 33800 cm / s = 338 m / s$

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