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The equation. Delta x. Deltap ge h//4 pi...

The equation. `Delta x. Deltap ge h//4 pi` shows

A

de-Broglie relation

B

Heisenberg's uncertainty principle

C

Aufbau principle

D

Hund's rule

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To solve the question regarding the equation \( \Delta x \Delta p \geq \frac{h}{4\pi} \), we will analyze its significance in the context of quantum mechanics. ### Step-by-Step Solution: 1. **Identify the Variables**: - \( \Delta x \): This represents the uncertainty in position. - \( \Delta p \): This represents the uncertainty in momentum. - \( h \): This is Planck's constant, which is a fundamental constant in quantum mechanics. 2. **Understand the Equation**: - The equation \( \Delta x \Delta p \geq \frac{h}{4\pi} \) is known as Heisenberg's Uncertainty Principle. It states that the product of the uncertainties in position and momentum of a particle cannot be smaller than \( \frac{h}{4\pi} \). 3. **Interpret the Implications**: - This principle implies that the more precisely we know the position of a particle (i.e., the smaller \( \Delta x \) is), the less precisely we can know its momentum (i.e., the larger \( \Delta p \) becomes), and vice versa. This is a fundamental property of quantum systems. 4. **Relate to Quantum Mechanics**: - In quantum mechanics, particles such as electrons do not have definite positions and momenta at the same time. This uncertainty is not due to measurement limitations but is intrinsic to the nature of quantum particles. 5. **Conclusion**: - Therefore, the equation \( \Delta x \Delta p \geq \frac{h}{4\pi} \) shows Heisenberg's Uncertainty Principle, which highlights the limitations in simultaneously knowing the position and momentum of a particle.
To solve the question regarding the equation \( \Delta x \Delta p \geq \frac{h}{4\pi} \), we will analyze its significance in the context of quantum mechanics. ### Step-by-Step Solution: 1. **Identify the Variables**: - \( \Delta x \): This represents the uncertainty in position. - \( \Delta p \): This represents the uncertainty in momentum. - \( h \): This is Planck's constant, which is a fundamental constant in quantum mechanics. ...
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