Fundamental frequency of an open pipe is f. Fundamental frequency of a one end closed pipe is also f. Now the pipes are joined end-to-end so as to form a single pipe with one end closed. Then the first overtone of air column in this composite pipe is
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a
2f3
b
3f2
c
f
d
f3
answer is C.
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Detailed Solution
f=v4lc=2.v4lo⇒lo=2lcLength of the composite pipe lc+lo=3lc∴First overtone =3.v4l=3.v4.3lc=v4lc=f