Statement 1 : Fluorine F2 is gas while iodine I2 is solid at room temperature.Statement 2 : A larger molecule or heavy atom is more polarizable and has larger dispersion forces because it has many electrons some of which are less tightly held and are farther from the nucleus.

London dispersion force exists among the non-polar molecules like F2,  O2,  I2, Cl2  etc. in solid or liquid states. Even in atoms in molecules which have no permanent dipole, instantaneous dipoles will arise as a result of momentary imbalances in electron distribution.London forces are extremely short range in action and the weakest of all attractive forces. The London forces increase rapidly with molecular weight, or more properly, with the molecular volume and the number of polarizable electrons.