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A toy cart is tied to the end of an unst...

A toy cart is tied to the end of an unstretched string of length 'l'. When revolved, the toy cart moves in horizontal circle with radius `2l` and time period T. If it is speeded until it moves in horizontal circle of radius '3l' with period `T_1`, relation between T and `T_1`is (Hooke's law is obeyed)

A

`T_1 = 2/sqrt3 T`

B

`T_1 = sqrt(3/2) T`

C

`T_1 = sqrt(2/3) T`

D

`T_1 = sqrt3/2 T`

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