State True or False:
$(1)$ Half-life of $^{223}Fr$ is $21 \ s$.
$(2)$ $Li^{+}$ has a high hydration enthalpy and therefore its salts are usually hydrated in nature.
$(3)$ Among all the alkali metals,only $Na$ can react with nitrogen of air and form a nitride.
$(4)$ Except $LiF$,other halides of $Li$ are soluble in water.

(A) $(1)$ False statement: The half-life of $^{223}Fr$ is $21 \ min$.
$(2)$ True statement: $Li^{+}$ has a small size and high charge density,leading to high hydration enthalpy,which makes its salts hydrated.
$(3)$ False statement: Only $Li$ reacts directly with nitrogen of air to form the nitride $Li_3N$.
$(4)$ False statement: $LiF$ is insoluble in water due to its high lattice enthalpy,while other $Li$ halides are soluble in water and organic solvents like ethanol,acetone,and pyridine.