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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

220 Hz

b

440 Hz

c

880 Hz

d

1760 Hz

answer is C.

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Detailed Solution

Fundamental frequency of closed pipen = v4l = 220 Hz ⇒ v = 220 × 4lIf 14 of the pipe is filled with water then remaining length of air column is 3l4Now fundamental frequency = v4(3l4) =v3l and First overtone = 3 x fundamental frequency                      = 3v3l = vl = 220×4ll= 880 Hz
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