Fundamental frequency of an open pipe is f0 Fundamental frequency when it is half filled with water is

Question

Fundamental frequency of an open pipe is f0 Fundamental frequency when it is half filled with water is (A)  f0  (B)  f0/2  (C)  2f0  (D)  3f

Tardigrade Admin · Accepted Answer

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 ( \frac{L}{2} )} = \frac{v}{2 L} = f_{o}

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

Q. Fundamental frequency of an open pipe is $f_{0}$ Fundamental frequency when it is half filled with water is

$f_{0}$

$f_{0} /2$

$2 f_{0}$

$3 f$

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,
$f_{c} = \frac{v}{4 ( \frac{L}{2} )} = \frac{v}{2 L} = f_{o}$ i.e., equal to that of open pipe i.e., frequency will remain unchanged.

Q. Fundamental frequency of an open pipe is f0​ Fundamental frequency when it is half filled with water is

f0​

f0​/2

2f0​

3f