📚 Learning Guide
Energy and Uncertainty in Quantum Mechanics
easy

In quantum mechanics, the uncertainty principle indicates that the more accurately we know a particle's position, the less accurately we can know its momentum. Which of the following statements best describes this relationship in terms of probabilities?

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A

Higher uncertainty in position leads to lower probabilities for momentum measurement.

B

Lower precision in position measurement increases the probability spread in momentum.

C

Accurate position measurement does not affect momentum probabilities.

D

Momentum and position probabilities are independent of each other.

Understanding the Answer

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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

probabilities in quantum mechanics
Topic

Energy and Uncertainty in Quantum Mechanics

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easy level question

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Definition
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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