The correct option is D Cl2+2Br−→2Cl−+Br2
Reduction potential (tendency to accept electrons and decrease in oxidation state) of halogens is in the order F2>Cl2>Br2>I2.
This means fluorine can be reduced to fluoride ions by Cl−,Br− and I− ions. The reverse process of fluoride conversion to fluorine by any other halogen will not be possible.
So, reaction in option (b) is not feasible.
Reactions in options (a), (c) and (d) are feasible.