Eduprobe
Question:
A student is performing the experiment of Resonance Column. The diameter of the column tube is 4cm. The frequency of the tuning fork is 512Hz. The air temperature is 38oC in which the speed of sound is 336m/s. The zero of the meter scale coincides with the top end of the Resonance Column tube. When the first resonance occurs, the reading of the water level in the column is 14.0 cm, 15.2 cm, 16.4 cm, 17.6 cm.
17.6 cm
14.0 cm
15.2 cm
16.4 cm
Solution:
We know that: v = fλ ∴ λ = v/f = 336/512 = 65.6cm/s
For the first resonance, the length of the air column is approximately λ/4. Therefore, the length of the air column is 65.6/4 = 16.4 cm. The reading of the water level in the column will be approximately 16.4cm. Therefore the correct answer is 16.4cm