A stationary ring having radius 8.00 cm lies in the yz plane and consists of a uniform positive charge Q = 5.3 µC. A small particle which consists of mass m and a negative charge q = -5.3 µC is positioned at the center of the ring. If the particle is given a small displacement in the x direction, it oscillates around its equilibrium position at a frequency of 3.39 Hz.
(i) Determine the mass of the particle?
(ii) Determine the frequency when the radius of the ring is twice to 16.0 cm and all the other parameters remain unaffected?