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Toy cart tied to the end of an unstretch...

Toy cart tied to the end of an unstretched string of length a, when revolved moves in a horizontal circle of radius 2a with a time period T. Now the toy cart is speeded up until it moves in a horizontal circle of radius 3a with a period T. If Hooke's law (F=kx) holds, then

A

`T_1=2/sqrt3T`

B

`T_1=sqrt(3/2)T`

C

`T_1=sqrt(2/3)T`

D

`T_1=sqrt3/2T`

Text Solution

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The correct Answer is:
D
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