B

Step 1: Understand the definitions related to collisions. Inelastic collisions are scenarios where the colliding objects stick together after the collision, resulting in deformation or generation of heat.
Step 2: Apply the law of conservation of momentum. In all types of collisions, including inelastic collisions, the total linear momentum before the collision is equal to the total linear momentum after the collision. Thus, momentum is conserved.
Step 3: Consider the conservation of kinetic energy. In inelastic collisions, some of the kinetic energy is transformed into other forms of energy (like heat, sound, etc.) and is not conserved. Therefore, kinetic energy is not conserved.
Step 4: Analyze total energy conservation. The total energy (which includes kinetic energy, potential energy, thermal energy, etc.) remains conserved according to the law of conservation of energy.
Conclusion: Among the options given, the quantity that is not conserved in an inelastic collision is kinetic energy. Therefore, the correct answer is Option B.