A) \[\frac{v}{2l}\]
B) \[\frac{v}{4l}\]
C) \[\frac{v\Delta l}{2{{l}^{2}}}\]
D) \[\frac{v\Delta l}{l}\] (Here v is the speed of sound)
Correct Answer: C
Solution :
\[{{\lambda }_{1}}=2l,{{\lambda }_{2}}=2l+2\Delta l\]Þ \[{{n}_{1}}=\frac{v}{2l}\] and \[{{n}_{2}}=\frac{v}{2l+2\Delta l}\] Þ No. of beats \[={{n}_{1}}-{{n}_{2}}=\frac{v}{2}\left( \frac{1}{l}-\frac{1}{l+\Delta l} \right)=\frac{v\Delta l}{2{{l}^{2}}}\]
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