In the figure, \( C D E F \) is a fixed conducting smooth frame in vertical plane. A conducting ...

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In the figure, \( C D E F \) is a fixed conducting smooth frame in vertical plane. A conducting uniform rod \( G H \) of mass \( m=1 \mathrm{~g} \) can move vertically and smoothly without losing contact with the frame. \( G H \) always remains horizontal. It is given velocity \( u=1 \mathrm{~m} / \mathrm{s} \) upwards and released. Taking the acceleration due to gravity as \( g \) and assuming that no resistance is present other than \( R \), time taken by rod to reach the highest point is equal to \( \frac{\ln 10}{x} \) second. Find out value of \( x \).
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