Statement I is true. The oxidising power of halogens decreases down the group in the order F2>Cl2>Br2>I2. A stronger oxidising halogen can displace a weaker oxidising halogen from its aqueous halide solution. This principle forms the basis of the layer test.
Statement II is true. In the layer test, chlorine water (Cl2) is added to an aqueous solution containing bromide (Br−) or iodide (I−) ions. Since Cl2 is a stronger oxidising agent, it oxidises Br− to Br2 and I− to I2. The reaction is given by:
Cl2+2X−→2Cl−+X2 (where X=Br,I)
This is a non-metal displacement redox reaction. The liberated Br2 or I2 is then extracted into an organic solvent layer (like CHCl3 or CCl4), where it imparts a characteristic orange-red colour for Br2 or a violet colour for I2, thereby identifying them.
Therefore, both Statement I and Statement II are true.
Answer: Both Statement I and Statement II are true