Learning Path
Question & Answer1
Understand Question2
Review Options3
Learn Explanation4
Explore TopicChoose the Best Answer
A
energy
B
mass
C
momentum
D
velocity
Understanding the Answer
Let's break down why this is correct
Answer
The principle says that if you pin down a particle’s location very precisely, you cannot know its momentum very precisely, and vice versa. This happens because measuring the position forces the wave function to become very spread out in momentum space. The uncertainty relation is Δx Δp ≥ ħ/2, so making Δx small makes Δp large. For example, if you measure an electron’s position within 10⁻¹⁰ m, its momentum uncertainty will be at least about 10⁻²⁵ kg·m/s. Thus the missing word is “momentum.
Detailed Explanation
The principle connects two specific properties: position and momentum. Other options are incorrect because Energy is related to quantum states, but the uncertainty rule does not pair energy with position; Mass is a fixed property of a particle; it does not fluctuate with measurement.
Key Concepts
Heisenberg Uncertainty Principle
Quantum Mechanics
Energy and Momentum
Topic
Energy and Uncertainty in Quantum Mechanics
Difficulty
medium level question
Cognitive Level
understand
Practice Similar Questions
Test your understanding with related questions
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Question 1In 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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Question 2Which of the following statements accurately reflect the implications of the Heisenberg Uncertainty Principle in quantum mechanics? (Select all that apply)
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Question 3How does the Heisenberg Uncertainty Principle affect our understanding of energy and momentum in quantum systems?
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Question 4Arrange the following concepts in the correct logical sequence that describes the interactions of energy and uncertainty in quantum mechanics: A) Measurement of position, B) Application of the Heisenberg Uncertainty Principle, C) Determination of momentum, D) Calculation of expectation values.
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Question 5In 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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