A) \[\frac{l}{\sqrt{2}}\]
B) \[\frac{l}{2}\]
C) \[l\]
D) \[\frac{3l}{2}\]
Correct Answer: A
Solution :
Frequency of sonometer wire \[{{n}_{1}}=\sqrt{\frac{T}{2l}},\] \[{{n}_{2}}=\sqrt{\frac{T/2}{2{{l}_{1}}}}\] Putting \[{{n}_{1}}={{n}_{2}},\,l=\frac{l}{\sqrt{2}}\]
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