Swichgear & Protection

In a 220 kV system the reactance and capacitance up to the location of circuit breaker is $8,\Omega$ and $0.025,\mu\mathrm{F}$, respectively. A resistance of $600,\Omega$ is connected across the contacts of the circuit breaker. Determine the following: (i) Natural frequency of oscillation, (ii) Damped frequency of oscillation, (iii) Critical value of resistance which will give no transient oscillation and (iv) The value of resistance which will give damped frequency of oscillation, one-forth of the natural frequency of oscillation.