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Energy and Uncertainty in Quantum Mechanics
easy

Energy in quantum mechanics is to uncertainty as position in classical mechanics is to what?

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Learning Path

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A

Speed

B

Time

C

Mass

D

Acceleration

Understanding the Answer

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Answer

In quantum mechanics, energy is paired with time, giving the energy‑time uncertainty relation. In classical mechanics, the analogous pair is position and momentum: the more precisely you know a particle’s position, the less precisely you can know its momentum, and vice versa. This mirrors how energy and time are linked in quantum theory. For example, a ball thrown straight up has a well‑defined position at the peak, but its velocity (momentum) is uncertain because of the height‑velocity relationship.

Detailed Explanation

Energy and time are linked by the uncertainty principle: if you know energy very well, the exact time it happened becomes fuzzy. Other options are incorrect because Speed is a rate of change of position, not a pair that limits how exactly we know energy; Mass is a measure of how much matter an object has, but it doesn’t set a limit on how precisely energy can be known.

Key Concepts

Heisenberg Uncertainty Principle
Classical Mechanics
Quantum Mechanics
Topic

Energy and Uncertainty in Quantum Mechanics

Difficulty

easy level question

Cognitive Level

understand

Practice Similar Questions

Test your understanding with related questions

1
Question 1

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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Question 2

In quantum mechanics, how does the concept of operators relate to the uncertainty principle, specifically in measuring the energy of a particle?

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Question 3

In the context of quantum mechanics, how does the complementarity principle relate to the uncertainty in measuring both the energy and the position of entangled particles?

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Arrange 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 5

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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Question 6

In quantum mechanics, how does the concept of operators relate to the uncertainty principle, specifically in measuring the energy of a particle?

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Question 7

In the context of quantum mechanics, how does the complementarity principle relate to the uncertainty in measuring both the energy and the position of entangled particles?

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Question 8

Energy in quantum mechanics is to uncertainty as position in classical mechanics is to what?

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Question 9

Arrange 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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