Q149 / 200 · Manipal (MET) 2010 · Physics

Fundamental frequency of an open pipe is $f_o$, Fundamental frequency when it is half filled with water is

Correct answer
A
$f_o$
B
$f_o / 2$
C
$2 f_0$
D
$3 f_0$

Solution

If an open pipe is half submerged in water, it will become a closed organ pipe of length half that of open pipe as shown in figure. So, its frequency will become, $f_c=\frac{v}{4\left(\frac{L}{2}\right)}=\frac{v}{2 L}=f_o$

$i e$, equal to that of open pipe ie, frequency will remain unchanged.

Hence, the correct answer is option: 'A'.

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