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A ring is hung on a nail. It can oscill...

A ring is hung on a nail. It can oscillate without slipping or sliding (i) in its plane with a time period `T_(1)` and (ii) , back and forth in a direction perpendicular to its plane , with a period `T_(2)`. The ratio `(T_(1))/(T_(2))` will be :

A

`(2)/(sqrt(3))`

B

`(2)/(3)`

C

`(3)/(sqrt(3))`

D

`(sqrt(2))/(3)`

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