Two adjacent natural frequencies of an organ pipe are amt determined to be 550 hz and 650 hz. calculate (a) the m fundamental frequency and (b) the length of this pipe.

The fundamental frequency and length of the pipe are 100 Hz and 1.7 m.

Explanation:

Given that,

Frequency f = 550 Hz

Frequency f' = 650 Hz

We know that,

AMT pipe is open pipe.

(b). We need to calculate the length of the pipe

Using formula of organ pipe

For 550 Hz,

...(I)

For 650 Hz,

...(II)

From equation (I) and (II)

(a). We need to calculate the fundamental frequency for n = 1

Using formula of  fundamental frequency

put the value of L

Hence, The fundamental frequency and length of the pipe are 100 Hz and 1.7 m.

option number c is the right answer.