Question

In a closed organ pipe, the fundamental frequency is \( v \). What will be the ratio of the frequencies of the next three overtones?

• A. 2:3:4
• B. 3:4:5
• C. 3:7:11
• D. 3:5:7

Hint:

In a closed organ pipe, the harmonics are given by odd multiples of the fundamental frequency.

Answer 1

The Correct Option is D

In a closed organ pipe, the overtones are the harmonics that follow the fundamental frequency. For a closed organ pipe, the harmonic frequencies are odd multiples of the fundamental frequency. If the fundamental frequency is \( v \), the frequencies of the first three overtones are:

- First overtone: \( 3v \)
- Second overtone: \( 5v \)
- Third overtone: \( 7v \)

Thus, the ratio of the frequencies of the next three overtones is \( 3:5:7 \).

Hence, the correct answer is (d).