Question

$AgCl$ is more soluble in water than $AgBr$.

Answer 1

Ag is a large-sized molecule with a high molecular mass and radius. As we go down the group in a periodic table, we observe that the atomic radius generally increases. A large molecule has a better interaction with another large molecule(in this case I), and hence will not dissociate easily, let alone be soluble in another liquid forming new macromolecular bonds. Thus the solubility of Ag with halogens decreases down the group.
Hence $AgCl$ is more soluble in water than $AgBr$.