Question

The fundamental frequency of a closed organ pipe is f. If both the
ends are opened then its fundamental frequency will be
a. f
b. 0.5f
c. 21 d. 41​

Answer 1

Answer:

a

Explanation:

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Answer 2

If both the ends are opened then its fundamental frequency will be 0.5f

option B is the correct answer.

Given:

Frequency of a closed organ pipe $(f_{c} )= f$

To find:

organ pipe's fundamental frequency if both the

ends are opened.

Solution:

first of all, we have to know what is an organ pipe.

• An Organ pipe is a sound-producing device that resonates at a specific pitch.
• A closed organ pipe is one in which one end of an organ pipe is closed and the other end is open.
• When both ends of an organ pipe are open, it is referred to as an open organ pipe.

An open organ pipe's fundamental frequency $(f_{o} )= \frac{v}{2l}$

Frequency of the closed organ pipe $(f_{c} )$ = $\frac{nv}{4l}$

Where $n$ = positive integer,

$v$ = velocity of sound,

and $l$ = length of the organ pipe.

An open organ pipe's fundamental frequency $(f_{o} )= \frac{v}{2l} = 2f_{c}$

hence, $f_{c} = \frac{f_{o}}{2}$

$f_{c} = \frac{f}{2}$

=0.5 $f$

hence, option (B) 0.5f is the correct answer.

If both the ends are opened then its fundamental frequency will be 0.5f

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