Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10-40 J.S. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics?
Imagine an alternate universe where the value of the Planck constant is 6.62607 x 10-40 J.S. In that universe, which of the following objects would require quantum mechanics to describe, that is, would show both particle and wave properties? Which objects would act like everyday objects, and be adequately described by classical mechanics?
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:**Exploring Quantum and Classical Mechanics in an Alternate Universe**
**Scenario Overview:**
Imagine an alternate universe where the value of the Planck constant is \(6.62607 \times 10^{-40} \text{ J} \cdot \text{s}\).
In that universe, which of the following objects would require quantum mechanics to describe (i.e., would show both particle and wave properties)? Which objects would act like everyday objects, and be adequately described by classical mechanics?
**Table Analysis:**
1. **Object:** A raindrop with a mass of 3.0 mg, 0.8 mm wide, moving at 6.6 m/s.
- **Quantum or Classical?**
- Classical
2. **Object:** An eyelash mite with a mass of 9.1 µg, 260 µm wide, moving at 44. µm/s.
- **Quantum or Classical?**
- Classical
3. **Object:** An alpha particle with a mass of \(6.6 \times 10^{-27} \text{ kg}\), \(8.0 \times 10^{-15} \text{ m}\) wide, moving at 16. km/s.
- **Quantum or Classical?**
- Quantum
4. **Object:** A car with a mass of 1300. kg, 4.6 m long, moving at 134.0 km/h.
- **Quantum or Classical?**
- Classical
**Diagram Explanation:**
The table above categorizes various objects into two domains: classical and quantum. Objects are evaluated based on their physical properties and motion to determine whether they exhibit classical behavior or require quantum mechanical explanations. In this alternate universe, the modified Planck constant results in different determinations from our universe about which objects display quantum characteristics.
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