If one holds an open-open tube with one end in water, one will obtain a variable
ID: 2276792 • Letter: I
Question
If one holds an open-open tube with one end in water, one will obtain a variable length open-closed
tube, the length depending on how much of the tube is immersed. Then if one holds a tuning fork over the open end
of the tube, one will obtain resonances when the length, L, of the tube is such that the sound of the tuning fork will
be reinforced. The smallest value of L for which a resonance occurs is 9.0 cm. What is the frequency of the tuning
fork, and what are the next two values of L for which resonance will occur? Use vs = 343 m/s. (953 Hz, 0.27 m,
0.45 m)
Explanation / Answer
a)
lambda = 4 L = 4 * 0.09 = 0.36
f = lambda f = 0.36 * 343 = 123.48 = 123 Hz
b)
L2 = 3 L = 3 * 0.09 = 0.27 m
L3 = 5 L = 5 * 0.09 = 0.45 m
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