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Two identical charged spheres suspended from a common point by two light strings of length $$l$$, are initially at a distance $$d$$ $$(d \ll l)$$ apart due to their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity $$v$$. If $$x$$ denotes the distance between the spheres, then $$v$$ varies as
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