📚 Learning Guide
Energy and Uncertainty in Quantum Mechanics
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In quantum mechanics, the Heisenberg Uncertainty Principle states that the more precisely the position of a particle is known, the less precisely its _____ can be known.

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Learning Path
Learning Path

Question & Answer
1
Understand Question
2
Review Options
3
Learn Explanation
4
Explore Topic

Choose the Best Answer

A

energy

B

mass

C

momentum

D

velocity

Understanding the Answer

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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

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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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In quantum mechanics, the Heisenberg Uncertainty Principle states that the more precisely the position of a particle is known, the less precisely its _____ can be known.

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