Moving wire over a Square Frame!

\(ABCD\) is a square frame made from different wires of same length and each having different uniform resistance per unit length. Resistances of wires forming sides \(AB, BC, CD\) and \(DA\) are \(100W, 400 W, 500 W\) and \(200 W\) respectively. An ideal cell is connected across \(B\) and \(D\). A straight conducting wire containing a resistance and a galvanometer in series starts rotating about pivoted point \(A\) from initial position as shown with uniform angular velocity \(\omega = \frac{\pi}{360} rad/sec\). One end of the straight wire (rotating) is pivoted at \(A\) and other end always in sliding contact with a side of the square. The time (in seconds) after start when galvanometer shows zero deflection is?

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