A mass m moves in a circle on a smooth horizontal plane with velocity `v_(0)` at a radius `R_(0)`, The mass is attached to a string which passes through a smooth hole in the plane as shown.

The tension in the string is increased gradually and finally m moves in a circle of radius `(R_(0))/(2)`. The final value of the kinetic energy is :

Options

A. `(1)/(4) mv_(0)^(2)`
B. `2mv_(0)^(2)`
C. `(1)/(2)mv_(0)^(2) `
D. `mv_(0)^(2)`

Answer

2