Step 1: Lattice Enthalpy.
Lattice enthalpy quantifies the bond strength in ionic solids. It is influenced by ion charges and ionic radii; higher charges and smaller radii lead to greater lattice enthalpy.
Step 2: Alkali Metal Trends.
Moving down the alkali metal group, cation radius grows with added electron shells. This expansion weakens the attraction between cations and anions, thus reducing lattice enthalpy.
Step 3: Conclusion.
Lattice enthalpy diminishes as cation radius increases, aligning with option (1).