A particle of mass m and charge `+q` approaches from a very large distance towards a uniformly charged ring ofradius Rand charge, mass same as that of particle, with initial velocity `v_(0)` along the axis of the ring as shown in the figure-1.420. What is the closest distance of approach between the ring and the particle? Assume the space to be gravity free and frictionless :

Options

A. `sqrt((q^(4))/(pi^(2) epsi_(0)^(2) m^(2) v_(0)^(4)) - R^(2))`
B. `sqrt((3q^(4))/(2pi^(2) epsi_(0)^(2)m^(2)v_(0)^(4)) + R^(2))`
C. `sqrt((m^(2)v_(0)^(4))/(2pi^(2) q^(4) epsi_(0)^(2)) - R^(2))`
D. `sqrt((q^(4))/(4 pi^(2) epsi_(0)^(2) m^(2) v_(0)^(4)) - R^(2))`