The question asks to identify the fundamental process through which ionic reactions with organic compounds proceed from the given options.
Organic reactions are classified based on how the covalent bonds are broken. There are two primary types of covalent bond cleavage:
Step 1: Analyze the term "Ionic Reactions".
By definition, an "ionic reaction" is a reaction that proceeds through ionic intermediates. These intermediates are charged species, such as carbocations (positively charged carbon atoms) or carbanions (negatively charged carbon atoms).
Step 2: Evaluate the bond cleavage required for ionic reactions.
For an ionic reaction to occur, charged intermediates must be formed from a neutral organic molecule. This requires the unequal breaking of a covalent bond, where one atom retains the entire bonding pair of electrons, becoming an anion, and the other atom loses the electrons, becoming a cation. This process is, by definition, heterolytic bond cleavage.
Step 3: Evaluate the given options.
Therefore, options (A), (C), (D), and (E) all relate to free-radical mechanisms, while only option (B) correctly describes the bond-breaking mechanism essential for ionic reactions.
Ionic reactions are characterized by the involvement of charged intermediates (ions). The formation of these ions from covalent organic compounds occurs through the unequal breaking of a bond, which is known as heterolytic bond cleavage.
The correct answer is (B) Heterolytic bond cleavage.
Consider the following sequence of reactions : 
Molar mass of the product formed (A) is ______ g mol\(^{-1}\).

In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by: