A) LC
B) \[{{(LC)}^{-1/2}}\]
C) \[{{\left( \frac{L}{C} \right)}^{-1/2}}\]
D) \[\frac{C}{L}\]
Correct Answer: B
Solution :
Frequency\[=\frac{1}{2\pi \sqrt{LC}}\] So the combination which represents dimension of frequency is \[\frac{1}{\sqrt{LC}}={{(LC)}^{-1/2}}\] For series R-L-C circuit, \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[=\sqrt{{{(300)}^{2}}+{{\left( 1000\times 0.9-\frac{{{10}^{6}}}{1000\times 2} \right)}^{2}}}=500\Omega \]
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