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Electric field given by the vector `vecE=(E_(0))/(l)(xhati+yhatj)` N/C is present in the `x-y` plane. A small ring of mass `M` carrying charge `+Q`, which can slide freely on a smooth non conducting rod, is projected along the rod from the point `(0,l)` such that it can reach the other end of the rod. Assuming there is no gravity in the region. What minimum velocity should be given to the ring? if in `S.I.` unit `(QE_(0)l)/(M)=8` |
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Answer» For the electric field, `V=-(E_(0)x^(2))/(2l)-(E_(0)y^(2))/(2l)+K` from energy conservation `-(QE_(0))/(l)(l^(2))/(2)+k+(1)/(2)Mv^(2)=-(QE_(0))/(l)*(l^(2))/(8)xx2+K` `v=2m//s` |
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