A) 220 Hz
B) 440 Hz
C) 880 Hz
D) 1760 Hz
Correct Answer: C
Solution :
Fundamental frequency of closed pipe\[n=\frac{v}{vl}=220Hz\]\[\Rightarrow \] \[v=220\times 4l\] If \[\frac{1}{4}\] of the pipe is filled with water then remaining length of air column is \[\frac{3l}{4}.\] Now, fundamental frequency \[=\frac{v}{4\left( \frac{3l}{4} \right)}\] \[=\frac{v}{3l}\] First overtone \[=3\times \]fundamental frequency \[=\frac{3v}{3l}=\frac{v}{l}=\frac{220\times 4l}{l}\]\[=880\,\text{Hz}\]You need to login to perform this action.
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