A tuning fork of frequency 340, Hz is sounded above an organ pipe of length 120, cm . Water is&

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14.Waves and Sound

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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 $= 340 \,m/s$)

A

$25$

B

$95$

C

$75$

D

$45$

Solution

$L=\frac{n v}{4 f}=25 \,n \mathrm{\,cm}$ with $n=1,3,5, \ldots . .$

i.e. $L=25 \mathrm{\,cm}, 75 \mathrm{\,cm}, 125 \mathrm{\,cm}, \ldots \ldots \ldots \ldots$

Now $L_{\min }=120-L_{\max }=120-75=45 \mathrm{\,cm}$

Standard 11

Physics

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