A) 200 Hz
B) 300 Hz
C) 600 Hz
D) 400 Hz
Correct Answer: A
Solution :
Frequency of wire, \[f=\frac{1}{2lr}\sqrt{\frac{T}{\pi \rho }}\] So here, \[\frac{{{f}_{1}}}{{{f}_{2}}}=\frac{{{l}_{2}}}{{{l}_{1}}}\times \frac{{{r}_{2}}}{{{r}_{1}}}\times \sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\] \[=\frac{600}{{{f}_{2}}}=\frac{2}{1}\times \frac{1}{2}\times \sqrt{\frac{{{T}_{1}}}{T/9}}\] \[\frac{600}{{{f}_{2}}}=3\] \[\Rightarrow \] \[{{f}_{2}}=\frac{600}{3}\] \[{{f}_{2}}=200\,Hz\]
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