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Question & Answer
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High energy leads to low uncertainty in position
Low energy leads to high uncertainty in position
High energy leads to high uncertainty in position
Energy and uncertainty are unrelated
Understanding the Answer
Let's break down why this is correct
When the particle has higher energy, its momentum is larger, so its wave has a shorter wavelength and more wiggles inside the box. Other options are incorrect because People may think a precise position comes from high energy, but actually higher energy pushes the wave up and down more, giving it a larger spread; The belief that low energy causes more uncertainty is wrong because lower‑energy waves have longer wavelengths and stay closer together.
Key Concepts
Energy and Uncertainty in Quantum Mechanics
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Deep Dive: Energy and Uncertainty in Quantum Mechanics
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Definition
This topic delves into energy and uncertainty in quantum mechanics, covering concepts like the Heisenberg Uncertainty Principle, expectation values, and stability of systems like the Hydrogen atom. It explores the relationship between energy, momentum, and uncertainty.
Topic Definition
This topic delves into energy and uncertainty in quantum mechanics, covering concepts like the Heisenberg Uncertainty Principle, expectation values, and stability of systems like the Hydrogen atom. It explores the relationship between energy, momentum, and uncertainty.
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