Question

In an organ pipe of length $L$ open at both ends, the fundamental mode has a frequency (where $v$ is a speed of sound in air)

• A. $\frac{v}{2L}$ and only odd harmonics are present
• B. $\frac{v}{2L}$ and only even harmonics are present
• C. $\frac{v}{2L}$ and all harmonics are present
• D. $\frac{v}{4L}$ and only odd harmonics are present

Answer 1

Answer: (C)

$\frac{v}{2L}$ and all harmonics are present

Answer 2

An organ pipe of length $L$ open at both ends vibrates with frequencies given by $\nu_{n}=\frac{nv}{2L}$ where $n = 1, 2, 3,4$ , ......... The fundamental frequency corresponds to $n = 1$ and is given by $\upsilon_{1}=\frac{\nu}{2L}$ In an open pipe all harmonics are present