Question:

In nuclear models, a negative kinetic energy value indicates:

Updated On: May 15, 2025
  • The system is in a stable state.
  • The system is in an unstable state.
  • The energy is being absorbed by the system.
  • The system is not bound.
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The Correct Option is B

Solution and Explanation

The concept of kinetic energy in nuclear models hinges on the stability and motion of particles within a nucleus. A negative kinetic energy value usually defies the classical concept, as kinetic energy, defined classically, cannot be negative. However, in the quantum mechanics context, a negative kinetic energy suggests that:
  • The potential energy field constructed by the nuclear forces is such that the mathematical solutions (often related to bound states and tunnelling effects) manifest as negative when representing certain physical states.
  • A negative kinetic energy can metaphorically represent a calculation in the system where the particle energies, when combined with potential energy, suggest unusual or bizarre states usually not stable in standard conditions, implying instability or non-traditional interactions.
Thus, in the context of nuclear models with quantum mechanical interpretations, a negative kinetic energy indicates that the system is in an unstable state. This aligns with the nature of forces and interactions at the nuclear level, where certain configurations might result in such mathematical representations suggesting instability.
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