A tuning fork of frequency $340\, Hz$ is sounded above an organ pipe of length $120\, cm$. Water is now slowly poured in it. The minimum height of water column required for resonance is .... $cm$ (speed of sound in air $= 340 \,m/s$)
Medium
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$L=\frac{n v}{4 f}=25 \,n \mathrm{\,cm}$ with $n=1,3,5, \ldots . .$
i.e. $L=25 \mathrm{\,cm}, 75 \mathrm{\,cm}, 125 \mathrm{\,cm}, \ldots \ldots \ldots \ldots$
Now $L_{\min }=120-L_{\max }=120-75=45 \mathrm{\,cm}$
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(Speed of sound $=330 ms ^{-1}$)