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

One end of a light string of length L is connected to a ball and the 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 in vertical circular path 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.
Q. If `|vecv_(C)|=2|vecv_(B)|` then the value of `theta `as shown is

`"cos"^(-1) 1/4`

`"sin"^(-1) 1/4`

`"cos"^(-1) 1/2`

`"sin"^(-1) 1/2`

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One end of a light string of length L is connected to a ball and the 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 in vertical circular path 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 vec v_(B) and at C is vec v_(C) respectively. If |vec v_(C)=2|vecv_(B)| then the value of theta as shown is

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