A mass m moves in a circle on a smooth horizontal plane with velocity v₀

A mass m moves in a circle on a smooth horizontal plane with velocity v₀ at a radius R₀. The mass is attached to 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 R₀/2. The final value of the kinetic energy is

Options

(a) 1/4 mv₀²
(b) 2 mv₀²
(c) 1/2 mv₀²
(d) mv₀²

Correct Answer:

2 mv₀²

Explanation:

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