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 maximum shift of centre of mass of two mass system from its initial position is
(1) \( \sqrt{2} l \)
(2) \( 1.5 l \)
(3) \( \frac{l}{\sqrt{2}} \)
(4) \( 2 l \)
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