A Charge Oscillating Above A Charged Square Plate.

Consider a point charge of mass mm and charge qq in equilibrium at a height hh above a square plate of charge density σ\sigma and side a=2ha = 2h in the presence of gravity in equilibrium. The plate is fixed.

Now, the point charge is given a small displacement in vertical displacement. Find an expression for the time period of its oscillations TT in terms of hh and gg, and give the value of 53.72T53.72 T for h=9mh = 9m and g=9.8m/s2g = 9.8 m/s^2 to the nearest integer

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