Answer to Question #105251 in Mechanics | Relativity for Titomi

Question #105251
A turning fork of frequency 340Hz is vibrated just above a cylindrical tube of height 1.2m. If water is slowly poured into the tube, at what maximum height will resonance occur.
[speed of sound in air = 340ms-1]
1
Expert's answer
2020-03-13T10:54:14-0400

In a closed tube, the resonance occurs at the following points from the opened top of the tube:


"L_1=\\frac{v}{4f}=0.25\\text{ m},\\\\\nL_2=\\frac{3v}{4f}=0.75\\text{ m},\\\\\nL_3=\\frac{5v}{4f}=1.25\\text{ m}.\\\\"


But the actual (effective) length of the tube is 1.2 m. Therefore, the resonance will occur at


"d=L-L_2=1.2-0.75=0.45\\text{ m}."


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