GATE2016-10

Question

In the circuit shown below $ (v_1+v_2) =[1\; \sin(2\pi10000t)] + 1\;\sin(2\pi30000t)] \;V.$  The $RMS$ value of the current through the resistor $R$ will be minimum if the value of the capacitor $C$ in $\text{microfarad}$ is ____________.