State True or False for the following statements:
$(i)$ Carbon possesses $sp^2$ hybridization in a carbocation.
$(ii)$ Carbon possesses $sp^3$ hybridization in a carbocation.
$(iii)$ $A$ carbocation is formed by homolytic fission of a bond.
$(iv)$ Carbocations are very stable.

(A) $(i)$ True: In a carbocation,the positively charged carbon atom is bonded to three other atoms and has an empty $p$-orbital,resulting in $sp^2$ hybridization.
$(ii)$ False: As stated above,the carbon in a carbocation is $sp^2$ hybridized,not $sp^3$.
$(iii)$ False: Carbocations are formed by heterolytic fission of a covalent bond,where the more electronegative atom takes both electrons.
$(iv)$ False: Carbocations are highly reactive,electron-deficient intermediates and are generally unstable,although their stability can vary based on inductive and resonance effects.