A particle slides from rest from the topmost point of a vertical circle of radius \( r \) along ...

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A particle slides from rest from the topmost point of a vertical circle of radius \( r \) along a smooth chord making an angle \( \theta \) with the vertical. The time of descent is
(1) Least for \( \theta=0 \)
(2) Maximum for \( \theta=0 \)
(3) Least for \( \theta=45^{\circ} \)
(4) Independent of \( \theta \)
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