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One end of a light of length L is connec...

One end of a light of length `L` is connected to a ball and other end is connected to a fixed point `O`. The ball is released from rest at `t=0` with string horizontal and just taut. The ball then moves it vertival circular pathh as shown. The time taken by ball to go from position `A` to `B` is`t_(1)` and from `B` to lowest position `C` is `t_(2)`. Let the velocity of ball at `B` is `vecv_(B)` and at `C` is `vecv_(C)` respectively.
If `|vecv_(c)|=2|vecv_(B)|` then

A

`t_(1)gtt_(2)`

B

`t_(1)ltt_(2)`

C

`t_(1)=t_(2)`

D

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