Three massless rods are fixed to form a right angled triangular frame such that \( A B=B C=l \)....

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Three massless rods are fixed to form a right angled triangular frame such that \( A B=B C=l \). Two identical small objects of mass \( m \) are fixed at \( A \) and \( C \). The frame is hinged about \( B \) such that the frame can rotate in vertical plane about an horizontal axis without friction. Initially \( A B \) is vertical and \( B C \) is horizontal and the system is released from rest.
The magnitude of acceleration of mass \( A \) when the \( \operatorname{rod} A C \) becomes horizontal is
(1) \( g(1+\sqrt{2}) \)
(2) \( g(2+\sqrt{2}) \)
(3) \( 2 g(1+\sqrt{2}) \)
(4) none of these
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