A) 1007 Hz
B) 100 Hz
C) 109 Hz
D) 500 Hz
Correct Answer: A
Solution :
For resonance condition \[{{X}_{L}}={{X}_{C}}\] \[\omega L=\frac{l}{\omega C}\] \[2\pi fL=\frac{l}{2\pi fC}\] \[{{f}^{2}}=\frac{l}{4{{\pi }^{2}}LC}\] \[f=\frac{1}{2\pi }\sqrt{\frac{l}{LC}}\] \[f=\frac{1}{2\pi }\sqrt{\frac{l}{0.25\times 0.2\times {{10}^{-6}}}}\] \[f=1007\,Hz\]
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