Q.

The fundamental frequency of a closed pipe is 220Hz. If 14 of the pipe is filled with water, the frequency of the first overtone of the pipe now is

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a

880 Hz

b

1760 Hz

c

220 Hz

d

440 Hz

answer is C.

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Detailed Solution

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Fundamental frequency of closed pipe
n = v4l = 220 Hz  v = 220 × 4l
If 14 of the pipe is filled with water then remaining length of air column is 3l4
Now fundamental frequency = v4(3l4) =v3l and 
First overtone = 3 x fundamental frequency

                      = 3v3l = vl = 220×4ll= 880 Hz

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