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A mass m moves in a circle on a smooth horizontal plane with velocity V0 at a radius R. 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 R02 the final value of the K.E is

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a
2mV02
b
12mV02
c
mV02
d
14mV02

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detailed solution

Correct option is A

mvr=mV'r'

V0R0=VR02V=2V0

K0K=12mV021/2mV2

K=4K0=2mV02

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