The angular velocity of a body changes from ω1 to ω2 without applying any torque. The ratio of the initial radius of gyration to the final radius of gyration of the body is

1
\(\sqrt{ω_2} : \sqrt{ω_1}\)
2
\(\sqrt{ω_1} : \sqrt{ω_2}\)
3
ω2 : ω1 
4
ω1 : ω2 

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