A) 1.22 m
B) 1.18 m
C) 1.14 m
D) 1.12 m
Correct Answer: C
Solution :
We have \[{{n}_{1}}-{{n}_{2}}=5\] \[\frac{v}{2\,{{l}_{1}}}-\frac{v}{\lambda {{l}_{2}}}=5\] \[\frac{1}{{{l}_{1}}}-\frac{1}{{{l}_{2}}}=\frac{5\times 2}{v}\] \[\frac{1}{1.10}-\frac{1}{{{l}_{2}}}=\frac{10}{340}-\frac{1}{1.10}\] \[-\frac{1}{{{l}_{2}}}=-0.87\] or \[{{l}_{2}}=\frac{1}{0.87}\] \[{{l}_{2}}=1.14\,m\] (Velocity of sound in air = 340 m/s.)
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