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Well, at first you had Ba(SO4)2 and H2SO4 which are both electrolytes. Then, you have BaSO4 which is a solid, insoluble in water. A solid does not conduct electricity, nor does pure water. So, conductivity decreases.
reaction is
Ba(OH)2 + H2SO4 ====> BaSO4 + 2H2O
it is a balane equation and coductivity is depand upon capacity to dissociate in to ions. an BaSO4 have less capabilty to produce ions than H2SO4 and Ba(OH)4