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Q. A resonance pipe is open at both ends and $ 30\,cm $ of its length is in resonance with an external frequency $ 1.1 \,kHz $ . If the speed of sound is $ 330\,m/s $ , which harmonic is in resonance ?

AMUAMU 2010Waves

Solution:

Fundamental frequency of open pipe
First harmonic $=n_{1}=\frac{V}{2l}=\frac{330}{2\times 0.3}=550\,Hz$
Second harmonic $=2 \times n_{1}=1100\,Hz$
$=1.1\,kHz$