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The fundamental of a closed pipe is 220 ...

The fundamental of a closed pipe is 220 Hz. If `(1)/(4)` of the pipe is filled with water, the frequency of the first overtone of the pipe now is

A

220 Hz

B

440 Hz

C

880 Hz

D

1760 Hz

Text Solution

Verified by Experts

The correct Answer is:
C
Fundamental frequency off closed pipe
`n=(v)/(4l)=220Hzimpliesv=220xx4l`
if `(1)/(4)` of the pipe is filled with water, then remaining length of air column is `(3l)/(4)`.
Now, fundamental frequency
`=(v)/(4((3l)/(4)))=(v)/(3l)` and
first overtone
`=3xx`fundamental frequency
`=3xx(v)/(3l)=(3xx220xx4l)/(3l)=880Hz`
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