Homework Answers
we know,
at T = 20 C, speed of sound, v = 343 m/s
given, length of the air column, L = 30/2
= 15 cm
= 0.15 m
a) fundamental frequency, fo = v/(4*L)
= 343/(4*0.15)
= 572 Hz
b) next harmonic, f3 = 3*fo
= 3*572
= 1716 Hz
The next harmonic, f5 = 5*fo
= 5*572
= 2860 Hz
c) In the diagram it is shown how standing waves are
produced in a closed horizontal pipe. The same thing happens in a
battle filled with water. 
d) by pouring water in the battle we can increase
fundamental frequency.
because, as we pour water L(length of the air column) decreases.
fo is inversely proportional to L.
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