A) 185.5 cm
B) 94.9 cm
C) 90 cm
D) 80 cm
Correct Answer: B
Solution :
For first pipe \[{{n}_{1}}=\frac{v}{4{{l}_{1}}}\]and for second pipe \[{{n}_{2}}=\frac{v}{4{{l}_{2}}}\] So, number of beats = \[{{n}_{2}}-{{n}_{1}}=4\] \[\Rightarrow \]\[4=\frac{v}{4}\left( \frac{1}{{{l}_{2}}}-\frac{1}{{{l}_{1}}} \right)\]\[\Rightarrow \]\[16=300\left( \frac{1}{{{l}_{2}}}-\frac{1}{1} \right)\]\[\Rightarrow \]\[{{l}_{2}}=94.9\]\[cm\]
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