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A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position and lowest position are equal. The angle ( θ ) of thread deflection in the extreme position will be :

1. 2 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 tan 1
2. ( ) 2 tan 1 −
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 tan 1
4. 2 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − 5 1 tan 1

Correct answer: 2 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 tan 1

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