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There are two tanks next to each other having cross sectional area \( A_{1} \) and \( A_{2} \). They are interconnected by a narrow pipe having area of cross section equal to \( A_{0} \). Initial height of water in the two tanks is \( h_{1} \) and \( h_{2} \) measured from the level of the pipe. Assume that the flow is ideal and behaves in a way similar to the discharge in air. Calculate \( N \) if the time needed for the water level in two tanks to become same is
\[
\frac{A_{1} A_{2}}{A_{o}\left(A_{1}+A_{2}\right)} \sqrt{\frac{N\left(h_{1}-h_{2}\right)}{g}}
\]
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