{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Uncertainty Principle", "refinement": "This problem applies the Heisenberg Uncertainty Principle, which relates the uncertainties in position and momentum of a particle to its energy uncertainty.", "specific_scope": "The focus is on calculating the minimum uncertainty in the energy of an electron given its velocity and position uncertainty.", "goal": "Determine the minimum uncertainty in the electron's energy (\u0394E) using the provided values for position uncertainty (\u0394x) and velocity (v)."}, "summary": "This problem involves the application of the Heisenberg Uncertainty Principle in quantum mechanics, which states that the product of the uncertainties in position (\u0394x) and momentum (\u0394p) is bounded by a constant. Given the electron's velocity and position uncertainty, we can calculate the minimum uncertainty in its energy (\u0394E). The goal is to find \u0394E based on the provided parameters, leading to the conclusion that the minimum uncertainty in the electron's energy is 1 \u00d7 10^(-16) J."}