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

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

A

`(1)/(2)mv_(0)^(2)`

B

`mv_(0)^(2)`

C

`(1)/(4)mv_(0)^(2)`

D

`2mv_(0)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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