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...
icon
Related questions
Question
**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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Atomic Structure and Spectra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY