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Question & Answer
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Higher uncertainty in position leads to lower probabilities for momentum measurement.
Lower precision in position measurement increases the probability spread in momentum.
Accurate position measurement does not affect momentum probabilities.
Momentum and position probabilities are independent of each other.
Understanding the Answer
Let's break down why this is correct
When we make the position of a particle less precise, the possible momentum values spread out over a wider range. Other options are incorrect because Higher position uncertainty does not reduce the chances of measuring momentum; instead it makes the momentum values more spread out, not less probable; Knowing the position very accurately does change the momentum probabilities; the momentum spread grows.
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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