A) \[50\times {{10}^{-4}}F\]
B) \[1\times {{10}^{-4}}F\]
C) \[2.03\times {{10}^{-4}}F\]
D) \[3\times {{10}^{-4}}F\]
Correct Answer: C
Solution :
For maximum brightness maximum current is required in the circuit. To get maximum current, \[{{X}_{L}}={{X}_{C}}\] (at resonance) \[\Rightarrow \] \[2\pi \,vL=\frac{1}{2\pi vC}\] \[\Rightarrow \] \[C=\frac{1}{4{{\pi }^{2}}{{v}^{2}}L}\] \[=\frac{1}{4{{(3.14)}^{2}}{{(50)}^{2}}(50\times {{10}^{-3}})}\] \[=2.03\times {{10}^{-4}}F\]
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