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A mass m moves in a circle on a smooth ...

A mass m moves in a circle on a smooth horizontal plane with velocity `v_0` at 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 :
.

A

`1/4 mv_0^2`

B

`2mv_0^2`

C

`1/2mv_0^2`

D

`mv_0^2`

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