# 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 $$\text{___________}$$.

×