Period of oscillation

After fully charging the capacitor with a capacity of \(C\) by connecting the power supply with a voltage of \(V\) as in [A] above, we turn on the switch to the coil as in [B] above. At this moment, the period of oscillation of the current flowing in the coil is \(T\). Now, if we change the capacity of the capacitor from \(C\) to \(2C\) and repeat the same process as above, what will be the period of oscillation of the current flowing in the coil?

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