{"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.", "specific_scope": "The focus is on calculating the minimum uncertainty in energy for an electron given its position uncertainty and speed.", "goal": "Estimate the minimum uncertainty in the electron's energy using the uncertainty in its position."}, "summary": "This problem involves the application of the Heisenberg Uncertainty Principle in quantum mechanics, which states that the uncertainty in position (\u0394y) and the uncertainty in momentum (\u0394p) are inversely related. Given the speed of the electron and its position uncertainty, we can calculate the uncertainty in momentum and subsequently use it to find the uncertainty in energy (\u0394E). The goal is to estimate \u0394E based on the provided parameters, leading to the conclusion that the minimum uncertainty in the electron's energy is 5 \u00d7 10^-16 J."}