2 parllel metal plates carry charges +q and -q . a test charge placed between the plates experiences a force F the separation between the plates is doubled then the force charge will now be
force exerted by plate on charge =kE where k is the charge of the particle, and E is the electric field at the location of the charge, associated with the plate
For the positively charged plate, this force will be directed away from the plate, and for the negative plate, towards it. So net force on the charge is 2kE, i.e. F= 2kE
If the separation between the plates is doubled, electric field at the center changes. However, since nothing is mentioned, we assume the plates to be infinite, and then electric field is independent of distance, and therefore force remains same.