JEE Advanced 2021 Paper 2

In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance CµF across a 200V,50Hz supply. The power consumed by the lamp is 500W while the voltage drop across it is 100V. Assume that there is no inductive load in the circuit. Take rms values of the voltages. The magnitude of the phase-angle (in degrees) between the current and the supply voltage is ϕ.
Assume, π√3≈5.