Slide away

\(CDEF\) is a fixed conducting smooth frame in vertical plane. A conducting uniform rod \(GH\) of mass \(m\) can move vertically and smoothly without loosing contact with the frame. \(GH\) always remains horizontal and is given a velocity \(U\) upward and released. Taking acceleration due to gravity as \(g\) and resistance attached to \(DE\) as \(R\), the time taken by the rod to reach the highest point is \(\text{___________}\).

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