A series LCR circuit driven by \(300\mathrm{V}\) at a frequency of \(50\mathrm{Hz}\) contains a resistance \(\mathrm{R}=…

A series LCR circuit driven by \(300\mathrm{V}\) at a frequency of \(50\mathrm{Hz}\) contains a resistance \(\mathrm{R}=3\mathrm{kΩ}\), an inductor of inductive reactance \({X}_{L}=250\pi \Omega\) and an unknown capacitor. The value of capacitance to maximize the average power should be: Take \(\left.({\pi }^{2}=10\right)\)

[JEE Main 2021, 26 Aug (Shift 1)]