Question

The fundamental frequency of a closed pipe is 220 Hz. If $\frac{1}{4}$ 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

Answer 1

The correct option is C 880 Hz

Now fundamental frequency $=\frac{v}{4\left(\frac{3l}{4}\right)}=\frac{v}{3l}$ and
First overtone = $3\times$ fundamental frequency
$=\frac{3v}{3l}=\frac{v}{l}=\frac{220\times 4l}{l}=880Hz.$