1.

A flexible chain of length 2m and mass 1 kg initially held in vertical position such that its lower end just touches a horizontal surface, is released from rest at time t=0. Assuming that any part of chain which strikes the plane immediately comes to rest and that the portion of chain lying on horizontal surface does not from any heap, the height of its centre of mass above surface at any instant t=(1)/(sqrt(5)) (before it completely comes to rest) is

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