A) \[\frac{v}{2l}\]
B) \[\frac{v}{4l}\]
C) \[\frac{v\Delta l}{2{{l}^{2}}}\]
D) \[\frac{v\Delta l}{l}\]
Correct Answer: C
Solution :
Frequency of open organ pipe \[n=\frac{v}{2l}\] For first pipe\[{{n}_{1}}=\frac{v}{2l}\] For second pipe\[{{n}_{2}}=\frac{v}{2(l+\Delta l)}\] Number of beats per sec in beats frequency \[=|{{n}_{1}}-{{n}_{2}}|=\left| \frac{v}{2l}-\frac{v}{2(l+\Delta l)} \right|=\frac{v\delta l}{2{{l}^{2}}}\]
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