A load is supplied by a 230 V, 50 Hz. The active power P and the reactive power Q consumed by the load such that $1kW\le P\le 2kW$ and $1kVAR\le Q\le 2kVAR$. A capacitor connected across the load for power factor correction generates 1 kVAR reactive power. The worst case power factor after power correction is

The inductance and capacitance of a 400 kV, three-phase, 50 Hz lossless transmission line are 1.6 mH/km/phase and 10 nF/km/phase respectively. The sending end voltage is maintained at 400 kV.To maintain a voltage of 400 kV at the receiving end, when the line is delivering 300 MW load, the shunt compensation required is